Decimals
Converting between fractions and decimals
None
Decimal to simplified fraction
Here's an example of how we convert a decimal to a simplified fraction. Over time this will become second nature to you.
Discussion and questions for this video
 Write 2.75 as a simplified fraction.
 So once you get some practice here.
 You're going to find it pretty straightforward to do.
 But we're really going to think through it and get the
 intuition for why this makes sense.
 So if we were to write this down, the 2, that literally
 just represents two 1's, I'll just write it down like that.
 Then we have the 7. Let me do that in another color.
 We have a 7 one place to the right of the decimal.
 It's in the tenths place, with a THS at the end.
 So it literally represents 7 over 10.
 And then finally, we have the 5 in the hundredths place, so
 it represents 5 over 100.
 Now, if I want to write this as a simplified fraction, or
 or really as a mixed number, I have to merge these fraction parts right here.
 And to add two fractions, you have to have a common denominator.
 And to figure out the common denominator, you just have to think about
 the least common multiple of 10 and 100.
 And that's 100.
 100 is divisible by both 100 and 10.
 So let's get this 10 to be a 100.
 So we can do that by multiplying it by 10.
 So when you multiply something by 10, you add a zero
 at the end of it.
 But you can't just do that to the denominator.
 We also have to do that to the numerator.
 So we multiplied the denominator by 10.
 Let's also multiply the numerator by 10.
 7 times 10 is 70, or 70 over 100.
 It's the exact same thing as 7/10.
 Now we can add these two.
 What is 70 plus 5?
 70 plus 5 is 75.
 And our denominator is 100, so this can be
 rewritten as 2 and 75/100.
 And we saw that in the last video, you would read this as
 two and seventyfive hundredths.
 Now, we aren't in a completely simplified fraction yet
 because 75 and 100 have common factors.
 And the largest number that goes into both, if you're
 familiar with quarters, is 25.
 Three quarters is $0.75, four quarters is 100 cents, or four
 quarters is $1.00.
 So you divide both of them by 25.
 So 75 divided by 25 is 3, and 100 divided by 25 is 4.
 So as a simplified mixed number, this
 becomes 2 and 3/4.
 And after you do a lot of practice here, and you just
 see a lot of numbers like this, it will be almost second
 nature for you to say, oh, 2.75 is the same thing as 2
 and 75/100, is the same thing as 2 and 3/4.
Be specific, and indicate a time in the video:
At 5:31, how is the moon large enough to block the sun? Isn't the sun way larger?

Have something that's not a question about this content? 
This discussion area is not meant for answering homework questions.
WHAT IS LIFE? logic magic
The answer to life the universe and everything is 42...
Life is what you look up too there is no real answer of life but its up to you what you do with your life.
How do you add Decimals and fractions?
convert the decimal to a fraction or vice versa, and then proceed as the form dictates
You either change the decimal to a fraction or the fraction to a decimal.
For example say we need to add .75 and 1/2. I would change 1/2 to a decimal which is .5. Then I
add them together and get the answer. Sometimes doing the fraction way is harder because you have to simplify and get the common denominator.
Hope this helped!
For example say we need to add .75 and 1/2. I would change 1/2 to a decimal which is .5. Then I
add them together and get the answer. Sometimes doing the fraction way is harder because you have to simplify and get the common denominator.
Hope this helped!
You would need both terms (numbers) to be the same, either fractions or decimals.
For example, say we need to add 1/2 + 0.75. There are two ways to work this problem.
1. Convert 1/2 to a decimal (0.5) and add it to 0.75: 0.5 + 0.75 = *0.8*. †
2. Convert 0.75 to a fraction (3/4) and add it to 1/2: 3/4 + 1/2 = 3/4 + 2/4 = *5/4*.
† Correction: 0.75 + 0.5 = *1.25*.
For example, say we need to add 1/2 + 0.75. There are two ways to work this problem.
1. Convert 1/2 to a decimal (0.5) and add it to 0.75: 0.5 + 0.75 = *0.8*. †
2. Convert 0.75 to a fraction (3/4) and add it to 1/2: 3/4 + 1/2 = 3/4 + 2/4 = *5/4*.
† Correction: 0.75 + 0.5 = *1.25*.
how do you change a decimal to a fraction when it has 3 numbers behind the decimal?
Hey Olivia!
When changing a decimal to a fraction when it has 3 numbers behind the decimal, you may try to do the following:
Suppose that your decimal is 1.234. You may want to associate it with a fraction involving someone associated to the "family of tens". Who could divide 1234 (the whole number without decimals) in order to bring the decimal so far?
Since we have three decimals, the answer would be someone in the family of tens with three zeros  Which is the number 1000, getting us to the fraction 1234/1000  Leaving us with the simple job to simplify it.
If you think of the number 123.4, the process is the same: Just think about who in the family of tens would bring the decimal that far. Since there is 1 decimal value, we would think about someone in the family of tens with a single zero: 10 itself! The fraction would be 1234/10 in this case.
When changing a decimal to a fraction when it has 3 numbers behind the decimal, you may try to do the following:
Suppose that your decimal is 1.234. You may want to associate it with a fraction involving someone associated to the "family of tens". Who could divide 1234 (the whole number without decimals) in order to bring the decimal so far?
Since we have three decimals, the answer would be someone in the family of tens with three zeros  Which is the number 1000, getting us to the fraction 1234/1000  Leaving us with the simple job to simplify it.
If you think of the number 123.4, the process is the same: Just think about who in the family of tens would bring the decimal that far. Since there is 1 decimal value, we would think about someone in the family of tens with a single zero: 10 itself! The fraction would be 1234/10 in this case.
if it is 1.234000 do not worry because just ignore the zeroes and do like Arthur said.
why do we need math? cause we dont really need it,we only need it because the world invented things and u need math for the new things to make stuff fit and work.
Just like playing an instrument or speaking a different language, knowing math gives us a new perspective on how we relate to the world around us. Even if math isn't immediately practical, the way our brains are wired with math changes how we apply ourselves. I've found that I can use the concepts learned in math to explain things such as social issues, and even silly things like how I understand music. It may not be the best answer, but I hope this helps you! :)
only god knows the answer to that.
can anybody please tell me how to simplify a fraction please. :)
Well, to simplify a fraction first you have to make sure none of the numbers are prime. Prime means that the number can't be divided by anything to get an integer (whole number). If the number in the numerator or denominator is prime then the fraction is simplified. If the numbers are not prime then you should find the greatest common factor. That means you have to find the largest number that both the numerator and denominator can be divided by.
If there is no number that both the numerator and denominator can be divided by then the fraction is already simplified. Please note that both numbers being divisible by 1 does not mean that you can simplify the fraction. Any number divided by 1 is itself. If your fraction can be simplified then divide both numbers by that number. If you can find another common number that both the numerator and denominator can be divided by then simplify. This shouldn't happen if you find the greatest common factor. Although sometimes using lower numbers is easier. Keep simplifying and checking to see if any of your numbers are prime or do not have a common factor.
At this point your fraction is simplified. :) Feel free to reply if you have any questions. Sorry for the bad paragraph formatting, the reply started out as a big blob of text.
If there is no number that both the numerator and denominator can be divided by then the fraction is already simplified. Please note that both numbers being divisible by 1 does not mean that you can simplify the fraction. Any number divided by 1 is itself. If your fraction can be simplified then divide both numbers by that number. If you can find another common number that both the numerator and denominator can be divided by then simplify. This shouldn't happen if you find the greatest common factor. Although sometimes using lower numbers is easier. Keep simplifying and checking to see if any of your numbers are prime or do not have a common factor.
At this point your fraction is simplified. :) Feel free to reply if you have any questions. Sorry for the bad paragraph formatting, the reply started out as a big blob of text.
let's say you have to simplify 2/4 so you would have to see what greatest common factor could go into 2 and 4 which would be 2 ,then you divide the numbers from the same greatest common factor and you would get 1/4 hope this helped😀
what is 5+4534+5
21 because 5+45 is 50. 5034is 16. 16+ 5 is 21
You would have to follow the order of operations from left to right . First you would add 5+45=50 and then 5034=16+5=21. Hope this helped😀
How would I go about approximating .68 inch to the nearest eighth of an inch?
First you would need to find which 8ths it falls between.
4/8 = 0.5
5/8 = 0.625
6/8 = 0.75
So we will be rounding to either 5/8 or 6/8 and need to decide which one is closer.
.68  .625 = .055
.75  .68 = 0.07
0.055 < 0.07 so we round to 5/8.
The other way to do it would be to first multiply 0.68 * 8 to get 5.44. This rounds down to 5 then divide by 8 so again we get 5/8.
4/8 = 0.5
5/8 = 0.625
6/8 = 0.75
So we will be rounding to either 5/8 or 6/8 and need to decide which one is closer.
.68  .625 = .055
.75  .68 = 0.07
0.055 < 0.07 so we round to 5/8.
The other way to do it would be to first multiply 0.68 * 8 to get 5.44. This rounds down to 5 then divide by 8 so again we get 5/8.
Yes, that is true.
20150219T19:56:49Z
by
Anonymous
Why is math complicated!
Probably because math is a series of number and variables in most cases, nothing special about math really. Just takes pratice and lots of doing, never a way to study... Just try to remember the formulas and form it is written in. Also, keep working out the equations, try to view examples online, and sooner or later it will seem to get easier or less complicated
can i do this
dony understand
Hey I don't know who you are so what school do u go to
Can you make a video on how to simplify fractions?
isn’t 2.75 = 275/100?
Yes, 2.75 = 275/100, but we can simplify that. It simplifies into 2 75/100 which simplifies down again to 2 3/4.
Yes it is 275/100, splitting it into it's parts to verify it to help you understand it is 2 + 7/10 + 5/100, making all the denominators the same turns that into 200/100 + 70/100 + 5/100 = 275/100
How do i write a fraction as a percent if the numerator is not divisible by the denominator (e.g. 5/7)?
5/7 = 0.7142857143 and so on
*100 = 71.42857143
you would have to round it as you wish. that's why it's better kept as a fraction for accuracy.
*100 = 71.42857143
you would have to round it as you wish. that's why it's better kept as a fraction for accuracy.
You do it as a division. 5 divided by 7. You need to be able to do division involving decimals. See https://www.khanacademy.org/math/ccsixthgrademath/cc6tharithmeticoperations/cc6thdivision/v/dividingcompletelytogetdecimalanswer
Just divide 5 by 7 by adding .0 to 5 to become 5.0 divided by 7 then divide.The answer will be 0.713.Then move the decimal point twice to make it between 1 and 3 so the answer is 71.3%
how do you convert 22/32 into decimals
You have to divide 22 by 32.
22 divided by 32, after computing the long division, equals 0.6875.
so when i make a mixed number to improper fraction iin dividing fractons i have to flip it around again?
I don't think so. 1 3/4 will turn into 7/4.
No you would not have to flip it around, you could just change the second number to a reciprocal and divide normally hope this helped😀
There's two i's in in?
the area of a square Is 144ft square . what is the length of one of the sides of the square?
To find the length of the side of a square, you find the *square root* of the total area. In this case, the length would be *12 ft*, since the square root of *144* is *12*.
i just don't get how you can change a decimal into a fraction it has been confusing me for a while so do you think anyone could help me understand it better?
decimals into fractions: use the place value of the decimal number
.75 means 75 hundredths, so write it 75/100, then reduce (divide) 75 and 100 both by 25, to get 3/4. (75/25=3, 100/25=4)
.75 means 75 hundredths, so write it 75/100, then reduce (divide) 75 and 100 both by 25, to get 3/4. (75/25=3, 100/25=4)
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how to convert a percent(%) as an improper fraction
To convert a percent to an improper fraction, you need a percent with a value that is greater than 100 percent. Let's say that you had a percent such as 134%. You can convert this percent into 1 34/100 because you have one whole 100% and 34% left over.
I hope this helps!
I hope this helps!
Hi How do you convert a fraction to a decimal i dont really get it
That is actually very simple to do. Let me give you an example:
What is the decimal form of 1/2?
All you do is treat the bar as a division bar and voila!
So 1/2 would be 1 divided by 2, which is 0.5.
What is the decimal form of 1/2?
All you do is treat the bar as a division bar and voila!
So 1/2 would be 1 divided by 2, which is 0.5.
clap clap clap nice work
HELP!! How do you do percent times percent? It is so confusing...
it's just like regular multiplication, but you have to convert the percents to decimals first and remember the rules about how multiplying decimals work. so 50% time 60% is .5 times .6 which equals .3. convert that back into a percent, you get 30%.
You just turn it into decimals or fractions then you multiply it and then turn it into a percent.
If 46% = 30 sheets of paper, how do I find out how many sheets = 54%
This will be a two step problem.
The first step, you will need to figure out the total number of sheets of paper. Put the 46% over 100% and the 30 sheets of paper over X, and set them equal to each other.
46/100= 30/X
Cross multiply and you get
46X=3000
Next divide 3000 by 46 to get the total sheets of paper.
X=65.22 sheets of paper.
Now, you have to figure out 54% of that. Simply multiply .56 by 65.22.
The answer is 36.5232 or ~36 sheets of paper
The first step, you will need to figure out the total number of sheets of paper. Put the 46% over 100% and the 30 sheets of paper over X, and set them equal to each other.
46/100= 30/X
Cross multiply and you get
46X=3000
Next divide 3000 by 46 to get the total sheets of paper.
X=65.22 sheets of paper.
Now, you have to figure out 54% of that. Simply multiply .56 by 65.22.
The answer is 36.5232 or ~36 sheets of paper
I don't get it how he got 2 3/4? Someone explain please! i understand the other concepts but i need help !
Hi!
After doing a lot of fraction exercises, I got into the habit of trying to "simplify" a fraction *every* single time  because a simple fraction is easier to read. For example, "two and three fourths" (2 3/4) is easier for me to say and think about than "two and seventyfive onehundredths" (2 75/100). Not all fractions simplify, but if you CAN simplify a fraction, it's usually good to do so  but HOW did Sal know that 2 3/4 is just another name for 2 75/100?
(in other words, that there are just as many 3s in 75 as there are 4s in 100.)
Well, he probably noticed that 75 ends with a "5" and that 100 ends with a "0" (any number that ends with a zero is a multiple of 10  and ten is just two 5s) so he must have suspected that there was definitely a number he could divide both by.
If you start with 5, and divide both numbers by that, you'll get "2 15/20". But if you notice, 15 ends with a "5" just like 75, and 20 ends with a "0" just like 100  so we know the numbers are still not as simple as they *could* be. Let's divide them both by five again, and now we have "2 3/4". Since "3" is a "prime" number, we know the fraction won't simplify any more.
Since we used 5 twice, we know the shorter way would be to just divide 75 and 100 both by 25 in one step (since 5x5=25). And that's why Sal used 25.
Here's a video Sal did, if you want to watch more about breaking large numbers into smaller ones:
https://www.khanacademy.org/math/prealgebra/factorsmultiples/least_common_multiple/v/leastcommonmultipleexercise
After doing a lot of fraction exercises, I got into the habit of trying to "simplify" a fraction *every* single time  because a simple fraction is easier to read. For example, "two and three fourths" (2 3/4) is easier for me to say and think about than "two and seventyfive onehundredths" (2 75/100). Not all fractions simplify, but if you CAN simplify a fraction, it's usually good to do so  but HOW did Sal know that 2 3/4 is just another name for 2 75/100?
(in other words, that there are just as many 3s in 75 as there are 4s in 100.)
Well, he probably noticed that 75 ends with a "5" and that 100 ends with a "0" (any number that ends with a zero is a multiple of 10  and ten is just two 5s) so he must have suspected that there was definitely a number he could divide both by.
If you start with 5, and divide both numbers by that, you'll get "2 15/20". But if you notice, 15 ends with a "5" just like 75, and 20 ends with a "0" just like 100  so we know the numbers are still not as simple as they *could* be. Let's divide them both by five again, and now we have "2 3/4". Since "3" is a "prime" number, we know the fraction won't simplify any more.
Since we used 5 twice, we know the shorter way would be to just divide 75 and 100 both by 25 in one step (since 5x5=25). And that's why Sal used 25.
Here's a video Sal did, if you want to watch more about breaking large numbers into smaller ones:
https://www.khanacademy.org/math/prealgebra/factorsmultiples/least_common_multiple/v/leastcommonmultipleexercise
2 is from 2, 3/4 is from 0.75. 75 is 3/4 of 100.100/4 equals 25/100.75/25 equals 3. That's why the numerator is 3.100/25 equals 4.That's why the denominator is 4.That's how you get 2 3/4.
who is "Sal" in the video ?
He is a creator of Khanacademy. He makes some of the math videos on Khan Academy.
Here a wikipedia page of him
http://en.wikipedia.org/wiki/Salman_Khan_%28educator%29
Here a wikipedia page of him
http://en.wikipedia.org/wiki/Salman_Khan_%28educator%29
he's the creator of Khan Academy,Salman Khan
Isn't 2 3/4 a mixed number instead of a simplified fraction? Shouldn't the answer be 11/4?
Well... yes, you're onto something there. Although decimal form, mixed number form and improper fraction form are all compatible forms to express the same quantity and all three forms are equivalent. But in reality, for a number to be considered as a fraction, it should be written in the fraction form, improper or otherwise.
So yes, I would say you're right about this one. The task was to write it as an improper simplified fraction. Sal should have converted the mixed number into an improper fraction. But the important thing is that you understand the concept.
So yes, I would say you're right about this one. The task was to write it as an improper simplified fraction. Sal should have converted the mixed number into an improper fraction. But the important thing is that you understand the concept.
.126 x 1 1/9 =?
The answer would be 0.14, or 7/50, since .126 can be written as 63/500, then if you cross multiply it with 11.9, you get 7/50.
my answer is 0.14
7/50=0.14
:) :) :) :) :)
:) :) :) :) :)
0.875 convert to fraction
it is 875/1000
It is 875/1000 = 7/8
If i were to add fractions to a decimal then multiply it by a negative number what would i do
You would want to reduce as far as possible and then Solve. Do you know what an improper fraction is?
I was a little lost but after watching the video again i got it
Er, today at my school, my teacher asked what was 0.23 in fraction and no one knew it, please help so i tell my teacher.
You should first say the name of the decimal number. Since the final digit is in the hundredths place, you would call it twentythree hundredths. There is a fraction with the same name.
if you have a fraction that is like lets say 25/100 it is going to be 25 percent
it is 1/4 in fraction.
Why do we have decimals and fractions and percents?
Why don't we just have one like fractions and not have any other?
Why don't we just have one like fractions and not have any other?
There are many contexts in which numbers are used. Each type of number is ideal at times when others are not. We have variety to maintain flexibility.
what is 350+100
equal
equal
The answer is 450.
Hey sal i am in 7th grade and these videos r awesome, iwas wondering how you would simplify o.oo32
it would be:
((32

10,000
((32

10,000
2/625
2/625!!!!!!!!!!!
2/625
2/625
.0032 Is the same as 32/10,000. The GCD (GCD means greatest common divisor. If you don't know what that is Sal has a great video on that subject http://www.khanacademy.org/video/greatestcommondivisor?playlist=Arithmetic ) of 32 and 10,000 is 8 so 32/8 = 4 and 10,000/8 is 1250 so your answer is 4/1250. I hope this helps but don't worry if you are confused. You will get it eventually if you haven't already.
how do you convert a decimal into a percentage?
@kayliels it would mean:
.54 = 54%
__^
2.89 = 289%
__^
.0095 = .95%
__^
.54 = 54%
__^
2.89 = 289%
__^
.0095 = .95%
__^
Whats that suppose to mean.
move the decimal 2 places to the right
so you can just add the fraction by making a picture.
yes. it will help u visualise it
I think so. But their might be a easy way too.
yes
yes, if you do it like he showed then it would make it alot easier!!!
can you make more examples?
okay so lets say we had 10/20 to make it smaller halve it once you will automatticly have 5/10 but if you had 60/70 you would have to halve it a couple of times! that was the fractions! if we had 10/50 just take the dit away and add the decimal point its that easy! that was the decimal!
Can this way be used for all problems like that?
Thanks!
yes it can be even if you have over thousands of numbers even if YOU cant i can
Sorry if you have 4 numbers..
Yes if you have 3 numbers in the decimal then it will be totally different.
definitely... i think.
I believe so.
I have a question... when you make 7/10 into a common denominator...do you just add a zero to the end to make it the same?
:)
demoniter is hard but simple and what they said is the most simple ones so im not going to put doiwn the hard ways soz =(
:) thank you so much!
7 divided by 10? no, its written like this:
7

10
7

10
OK thank you!
Putting the zeros to the end of the numerator and denominator is the same as multiplying by 10/10 because 7x10=70 and 10x10=100 .
Multiplying by 10/10 is the same as multiplying by 1, just to make the denominator the same.
Multiplying by 10/10 is the same as multiplying by 1, just to make the denominator the same.
well i need a lot of help on decimals and fractions,can you help me please?
what your are i dont no but i same answering you the its very simple decimals friction only convrt into point from thaky you
can you help me with decimals and fractions i am kinda having some troubles with that kind of stuff thank you!
decimails are very simple because the friction from convort into point from OK!
THAKS
THAKS
LOOK AT THE VID
how do you simplify 9 7/8
you make it into a mixed number then start dividing by the common divisor
how to add decimals and fractions
ok if you have 2/3 + 1/7 it might be 3/10 LEAVE ME ALONE SPARKLEZ
That does make sense at 1:00
how do you convert say 27/7 ( < thats a fraction/ mixed number ) into an improper fraction?
27 / 7 is an improper fraction. If you wanted to convert 27 / 7 to a mixed number, you would divide 27 by 7. In which case, you would have 3 and 6 / 7
What program do u use
how do i do this stuff
This is the video making software Sal uses. (Click the link)
https://www.khanacademy.org/science/healthcareandmedicine/NCLEXRN/nclexcompetition/v/howtomakeavideo
https://www.khanacademy.org/science/healthcareandmedicine/NCLEXRN/nclexcompetition/v/howtomakeavideo
Isn't it easier to just divide the numerator with the denominator, to convert to decimals?
Instead of having 2 (in 2.75) as a mixed number is there a way for it to be a fraction like 275/1000
How do you solve application problems that involve quadratic equations
are there easier ways too understand this concept for people dealing with special needs??
Try talking with your teacher about it. Maybe stay afterschool for a little bit and discuss the video. If you're homeschooled, talk with your parents or discuss it with a friend. Hope this helps! :D
who tells us all this info,i wonder
That is amazing! Good for you.
cool how do you know?
Salman Khan is the one speaking in the videos.
HOW DO YU SIMPLIFY A FRACTION?
if you have 8/16 what goes into 8 that also goes into 162 so how many times does it go into it and you have your anser (1/2)
i hope i explained it clearly
i hope i explained it clearly
amameeewooz!
any body out there that know how to get black hole badges
answer soon
answer soon
I think I know someone who has the Telsa badge.He told some people how to get all six black hole badges.
Telsa (get 10 million energy points) Atlas ( achieve mastery in 600 unique skills)
Hypatia (achieve mastery in 350 unique skills, now a sun badge) Be Sal (be salmon Khan) artemis ( we don't know yet) gissanndo (watch all the videos Khan posted)
Telsa (get 10 million energy points) Atlas ( achieve mastery in 600 unique skills)
Hypatia (achieve mastery in 350 unique skills, now a sun badge) Be Sal (be salmon Khan) artemis ( we don't know yet) gissanndo (watch all the videos Khan posted)
I don't. Sorry, I only think that Mr. Khan knows how to get it. All I can say is keep on trying to figure it out. I don't even know how to get a black hole badge! I also never seen anyone with a black hole badge. Sorry! (If you know where Mr. Khan lives ask him!)
How do I covert mixed number to decimals. Like....19 1/2
For this question I would first convert the fraction part to a decimal. 1/2 = 0.5 You can do 1.0 ÷ 2 by long division to get this. Then add the whole number part. 19 + 0.5 = 19.5
does the first number of the decimal always stay the same when u are turning it to a mixed number
The denominator stays the same unless simplifiable.
So at around 1:58 he says "they have common factors" what does he mean by that exactly?
he had 75/100 , so in this case 25 is a factor of both numbers. ie 75 = 25 x 3 and 100 =25X4
in general factors of a number are numbers that can be used to build up that number , ultimately you get to prime factors where the number cant be broken down any more. There are videos on this topic if you didn't manage to get to them.
in general factors of a number are numbers that can be used to build up that number , ultimately you get to prime factors where the number cant be broken down any more. There are videos on this topic if you didn't manage to get to them.
What happens if there is a thousandth? For example: 8.452? How would you write that as a fraction?
It would be 8 452/1000. Then you just have to reduce the fraction.
What if you have something like 6/51 how would you convert that into a decimal? I'm just not understanding the process I guess. I've read the other comments and tried at school, but I can't get it in my head. I'm finishing 8th grade if that matters.
Hi Jake. Finishing 8th grade is very important. This means you need a quick, easy way of understanding how to convert fractions to decimals. Decimal are going to be very important in Algebra I and II.
So here is a quick and easy way to find the decimal: construct a division problem. Take the numerator (6, in this case) and put it inside the division sign.
*
) 6*
Good? now put a decimal point after the whole number. So it should look like this:
*
) 6.*
Now put the denominator (51) on the outside:

51) 6.
Okay? Now put the decimal directly above, in the product area.
* .
51) 6.*
Now complete the problem. You should have one number in front of the decimal point (because 6 is only one digit) and the rest should be behind the decimal point.
The answer will be 0.1176470588 (etc.) Round it and you'll get approximately 0.118.
Hope this helps. If you need more help, just say so and I can give a lot more examples.
Sylvia
So here is a quick and easy way to find the decimal: construct a division problem. Take the numerator (6, in this case) and put it inside the division sign.
*
) 6*
Good? now put a decimal point after the whole number. So it should look like this:
*
) 6.*
Now put the denominator (51) on the outside:

51) 6.
Okay? Now put the decimal directly above, in the product area.
* .
51) 6.*
Now complete the problem. You should have one number in front of the decimal point (because 6 is only one digit) and the rest should be behind the decimal point.
The answer will be 0.1176470588 (etc.) Round it and you'll get approximately 0.118.
Hope this helps. If you need more help, just say so and I can give a lot more examples.
Sylvia
how come I just lost all my achievements for watching videos?!?
Is it just me or did it happen to anyone else?
Is it just me or did it happen to anyone else?
what makes you arrived at three all over four?
75 / 100 = (3 x 25) / (4 x 25) Since 25/25 = 1, (25 is GCF of 75 and 100), 75 out of 100 is the same as 3 out of 4.
Is there an easy way to figure out how to simplify 5754/10,000?
First, look at the 2 numbers. You have 5754 and 10,000. You'd have to figure out what the GCF of both numbers are.. or just see.. 2 goes into both numbers, so divide them both by 2, and so on and so on.
whats the answer to 7 over 26
How do you change a fraction into a decimal and vise versa?
O.17 as a fraction
Well, you start out by finding out how many numbers are behind the decimal.
17 has 2 numbers. So if it had 1 number (lets call it ?) then it would be ?/10, but since there are 2 numbers it is 17/100. Since 17/100 isn't divisible by anything the answer is 17/100!
17 has 2 numbers. So if it had 1 number (lets call it ?) then it would be ?/10, but since there are 2 numbers it is 17/100. Since 17/100 isn't divisible by anything the answer is 17/100!
I need to turn 1/6 to a decimal. The answer is supposed to be .1666, I don't understand how they got the 1?
Hey Nicole!
Not sure how you are getting that answer... The easiest way to do it is to plug it into a calculator but if you go ahead and divide it out you should get the same answer. How were you doing the problem?
Not sure how you are getting that answer... The easiest way to do it is to plug it into a calculator but if you go ahead and divide it out you should get the same answer. How were you doing the problem?
how do you order fractions
first you convert them into decimals.Next or der the decimals from lesat to greatest then convert them back into a fraction. A good smartthinking tip always label what each fraction equals to the decimal. for example 1/4=0.25 thats a good tip so its less work. :)
Can anyone explain how to do the cut and copy excersies I dont understand them at all.. for example this question..
The starting block below is 116 units long. Use the tools to the right to convert the starting block into both of the goal blocks that are 23 units long and 56 units long. You can see your progress as the current blocks.
Cutting the starting block into x pieces is the same as dividing it by x.
We want to cut the starting block into a piece that can be copied into both goal block 1 and goal block 2.
The least common denominator of 3 and 6 (the denominators of the goal blocks) is 6. Therefore you can copy a block 16 units long to make both goal blocks.
To find the number of slices to cut the starting block into we solve for s in the following equation:
116÷s=16
116=16s
116⋅6=s
s=7
We now have a resulting block that is 16 units long. Now we simply divide our goal blocks by this value to see how many times we need to copy the resulting block.
c1=23÷16=23⋅6=4
c2=56÷16=56⋅6=5
I really dont get this explanation at all.
The starting block below is 116 units long. Use the tools to the right to convert the starting block into both of the goal blocks that are 23 units long and 56 units long. You can see your progress as the current blocks.
Cutting the starting block into x pieces is the same as dividing it by x.
We want to cut the starting block into a piece that can be copied into both goal block 1 and goal block 2.
The least common denominator of 3 and 6 (the denominators of the goal blocks) is 6. Therefore you can copy a block 16 units long to make both goal blocks.
To find the number of slices to cut the starting block into we solve for s in the following equation:
116÷s=16
116=16s
116⋅6=s
s=7
We now have a resulting block that is 16 units long. Now we simply divide our goal blocks by this value to see how many times we need to copy the resulting block.
c1=23÷16=23⋅6=4
c2=56÷16=56⋅6=5
I really dont get this explanation at all.
how do you convert an infinite decimal into a fraction
If the decimal does not have a repeating pattern, then the number is irrational and cannot be converted into a fraction.
However, if there is a pattern, then the way I do it is to write the repeating pattern in the numerator, then count up the digits in the numerator and write that number of nines in the denominator then simplify.
Example:
.102102102... = 102 / 999 = 34 / 333
However, if there is a pattern, then the way I do it is to write the repeating pattern in the numerator, then count up the digits in the numerator and write that number of nines in the denominator then simplify.
Example:
.102102102... = 102 / 999 = 34 / 333
Why cant i just write 75/100 in the first place because .75 is just 75/100
im not grasping that well :(
How do you convert a fraction into a decimal
I NEED HELP 👇
Identity and place the following numbers into three groups  less than 1/4; between 1/4 & 3/4; more than 3/4
(a) 0.4 (b) 0.76
Thanks
Rosalyn 🌺
Identity and place the following numbers into three groups  less than 1/4; between 1/4 & 3/4; more than 3/4
(a) 0.4 (b) 0.76
Thanks
Rosalyn 🌺
Hey Rosalyn!
Idk if the other guy already answered your question or not, but I thought I would go ahead and post an answer here in case it can help you or someone else.
1/4 is equal to 0.25, and 3/4 is equal to 0.75, so 0.4 would be greater than 1/4 (or 0.25) and also between 1/4 (0.25) and 3/4 (0.75).
0.76 is greater than 3/4 or 0.75.
I'll also write it out a different way just so you can see it. Here is the first number, 0.4.
1/4 < 0.4 < 3/4
The second number, 0.76:
1/4 < 3/4 < .76
Hope this helped and didn't just make things more confusing. :) let me know if I can help clarify anything.
Kendall
Idk if the other guy already answered your question or not, but I thought I would go ahead and post an answer here in case it can help you or someone else.
1/4 is equal to 0.25, and 3/4 is equal to 0.75, so 0.4 would be greater than 1/4 (or 0.25) and also between 1/4 (0.25) and 3/4 (0.75).
0.76 is greater than 3/4 or 0.75.
I'll also write it out a different way just so you can see it. Here is the first number, 0.4.
1/4 < 0.4 < 3/4
The second number, 0.76:
1/4 < 3/4 < .76
Hope this helped and didn't just make things more confusing. :) let me know if I can help clarify anything.
Kendall
Hmm,..I'll post a tutorial on my website right now! Maybe I could be of some use.
"2:01" So we're supposed to find the largest number that fits into both?
Oh! I get it. Thanks!
your supposed to find the smallest number that fits into both i am pretty sure. basically he was simplifying it and i, for some reason, forgot how to simplify. i hope i could help a little!
how do you find out how to divide decimals?
The only way I remember is turn them into fractions and do this:
a/b divided by c/d. Invert c and d and change it multiplication.
a/b multiplied by d/c. Multiply numerator and denominator. Then change back to decimals.
Hope this helped! :D
a/b divided by c/d. Invert c and d and change it multiplication.
a/b multiplied by d/c. Multiply numerator and denominator. Then change back to decimals.
Hope this helped! :D
wat if its was like there was giomg on and on do we have to put a infinity bar yes or noo like we leave it like that?