Converting between fractions and decimals
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Decimals and fractions
Decimals and Fractions
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 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.
How do I write a fraction as a percent
Divide numerator by the denominator, then when you have your percent, multiply the decimal by 100 and add a percent (%) sign to it.
So basically, you make the fraction bigger until the denominator ( the bottom of the fraction) is 100. Then the numerator (the top number of the fraction) is your answer
you have to convert the fraction into a decimal then you can make it into a percent
Ex: 76/100
you will se what 76 is closer to which is 100. so you do 76/100.
Ex2: 6. 6 is closer to 10 than 100. so you do 6/10
Ex3: 578. 578 is closer to 1000 than 100 or 10. so you do 578.
IF YOUR IN 6TH GRADE THIS IS ALL YOU WILL DO. IN 7TH GRADE THEY WILL TEACH YOU LIKE 67/987.
you will se what 76 is closer to which is 100. so you do 76/100.
Ex2: 6. 6 is closer to 10 than 100. so you do 6/10
Ex3: 578. 578 is closer to 1000 than 100 or 10. so you do 578.
IF YOUR IN 6TH GRADE THIS IS ALL YOU WILL DO. IN 7TH GRADE THEY WILL TEACH YOU LIKE 67/987.
Would make it out of 100 or divide it by 100
first u turn it into a decimal by dividing the num. by the den. then once u divide that u get a decimal so then u move the decimal 2 places to the right then u get ur answer
Step 1: Find a number you can multiply the bottom of the fraction by to get 100.
Step 2: Multiply both top and bottom of the fraction by that number.
Step 3. Then write down just the top number with the "%" sign.
Step 2: Multiply both top and bottom of the fraction by that number.
Step 3. Then write down just the top number with the "%" sign.
Let's pretend your fraction is 3/5
In order to turn 3/5 into a percentage first you have to figure out what 3/5 is in decimal form.
Divide 3 by 5 and you get .6
Now to turn the decimal into a percentage [PERCENTage] you multiply by 100. aka move the decimal over two values.
.6 = 60%
So: 3/5 = 60%
In order to turn 3/5 into a percentage first you have to figure out what 3/5 is in decimal form.
Divide 3 by 5 and you get .6
Now to turn the decimal into a percentage [PERCENTage] you multiply by 100. aka move the decimal over two values.
.6 = 60%
So: 3/5 = 60%
you find the percent then you multiply that percent by 100
You write a fraction as a percent by dividing the numerator by the denominator.Now, you have the answer as a decimal, so convert it into a fraction. For example 0.9= 9/10
e.g.
1/2 to %?
what gets 2 to 100? The answer is 50.
Multiply both top number and bottom number by 50.
you get 50/100. Everything /100 = %.
Answer= 50%
1/2 to %?
what gets 2 to 100? The answer is 50.
Multiply both top number and bottom number by 50.
you get 50/100. Everything /100 = %.
Answer= 50%
and you have to simplify if posible
by doing it
moving . around the place
moving . around the place
Step 1: Turn it into a decimal.
Step 2:Turn into a percent
Step 2:Turn into a percent
How do you convert decimals if it's not likely to be a fraction? Ex: 4.897 & 0.12345
Take the number before the decimal as a whole number in an improper fraction. The numbers after the decimal, 897 become a numerator over 1000.
why don't you shut up bro but don't taze me bro
Ask yourself or on youtube
How do I write a mixed number as a percent
you can convert the mixed fraction into an improper one...... and then multiply into 100
You just Take away the whole number and the turn the fraction into a percent and then put a decimal point and add the whole number to the percent.
Ew no they NASTY
ya exactly
it like kurkure
it like kurkure
hi do you like cheeto's
How would I convert 3/4 to a decimal
3/4 multiplied by 100
3numerator
4denominator
divide 100/4=25
then multiply 25 by 3= 75
since percentage = 100
you divide 75/100
=0.75
3numerator
4denominator
divide 100/4=25
then multiply 25 by 3= 75
since percentage = 100
you divide 75/100
=0.75
You can do *long* division of 3 divided by 4. That would give you 0.75
you just change the denominator to 100 and the numerator to 75, the you change the 75/100 to a decimal which is 0.75
If you think of quarters than you know .25 is equal to 1/4 so you know that .75 is equal to 3/4.
There is another way of doing this that I find easier. I multiply the denominator by 25 to make it 100..then multiply the numerator by 25 it gives you 75/100 which is 0.75. This method is faster and easier than long division so long as your denominator can easily be multiplied by a number to make it 100...other times the long division method is easier.
You divide the top by the bottom which is...0.75! done! this is a trick for you to help you remember where you put the number in the division sign. The top(3) is the best so it goes inside the class which is inside the dividing sign. The bottom is bad it goes out
ya.... if u had lets say 50/60 you'd do the same thang ;)
how do you convert .044867678938725895 into a fraction?
that is a huge decimal. You turn a terminating decimal to a fraction by putting the number into the numerator. then the denominator to from I think the tenth power up. then you reduce it. that would be 1/2
first divide well
how do you convert a fraction into a decimal?
You should divide fraction's numerator by denominator.
For example:
3/4 = 3 : 4 = 0,75
Sal made few videos about it, here is one:
https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/convertingfractionstodecimals
For example:
3/4 = 3 : 4 = 0,75
Sal made few videos about it, here is one:
https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/convertingfractionstodecimals
for example, 4/10 or 4/100
4/0 turns into 0.4 because denominator is 10. 4/100 is 0.04 because denominator is 100.
4/0 turns into 0.4 because denominator is 10. 4/100 is 0.04 because denominator is 100.
You could just divide the 2 numbers together and get a decimal.
divide by 100 or by10
How do you get all the colors
What colors do you mean?
what colour do you mean
i agree. what colors are you talking about
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*.
What is the reciprocal of 2/3?
3/2 Is the exact reciprocal of 2/3
Can any body help me with the first question of converting decimals to fractions 1?
i have to convert 0.22 into a fraction.
Please answer quickly.
i have to convert 0.22 into a fraction.
Please answer quickly.
First, you count the number of numbers(numerals greater than 1)on the _right_ side of the decimal place,(in your case, 2)than, you move the decimal place right that many times(in your case to get 22)than divide that number by one with that many zeros on it's right side(100) with 22 over it so 22/100. Than simplify to get 11/50.
so when i make a mixed number to improper fraction iin dividing fractons i have to flip it around again?
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.
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.
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)
Omg this is the best web site ever oooooooooooooooooooommmmmmmmmmmmmmmmmmmmmmmggggggggggggggggggggg! b
I was a little lost but after watching the video again i got it
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.
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.
Hi i just need to ask a question about turning a decimal to a fraction(duh). I have a question on your practice section that says this. Write 2.33 as a mixed number then round to the lowest terms. I tried 2 1/3 and 2 33/100 but no success. Please help and Thank You.
why don't yo explain also how to but the fraction into a percentages or into a ratios
If you're trying to round to the lowest terms with no success, either you're doing something wrong or the answer is already in lowest terms.
how do i ask my teachers questions
You raise your hand and ask them
How would you simplify a fraction like this 2/6
See how many times 2 goes into six
Answer: 1/3
Answer: 1/3
what you would do is divide both numbers by 2 so you would get 1/3
thanks khan accadamy is really helpful
create s compasridon problrm uding decimals
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.
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
please help me im getting stuck on almost everysingle 1 can someone help me?
Watch it over and over agian dont let it fool you
How can I multiply decimals??
You multiply decimals just like you would multiply whole numbers. Then, when you've finished, you count the digits in your problem that are to the right of the decimals, add them together, and place the decimal in your answer the same number of spaces from the right. For example:
11.12
x 06.2 =
6944
Then, because there are two digits on the right of the decimal in 11.12 and one digit to the right of the decimal in 06.2, if you add that together (2+1) you get three. So, in your answer, count three digits from the right and put your answer there:
6.944
Hope this helps!
11.12
x 06.2 =
6944
Then, because there are two digits on the right of the decimal in 11.12 and one digit to the right of the decimal in 06.2, if you add that together (2+1) you get three. So, in your answer, count three digits from the right and put your answer there:
6.944
Hope this helps!
13 divided by 8= what when changed into decimal
How do you convert decimals if it's not likely to be a fraction ex:8465.956 & 0.69353
They can be converted to fractions.
First, you convert the part after the dot into a fraction over a power of 10.
e.g. 8465.956 turns into 8465 956/1000.
Then, you simplify the fraction.
e.g. 8465 956/1000 can be simplified into 8465 239/250
First, you convert the part after the dot into a fraction over a power of 10.
e.g. 8465.956 turns into 8465 956/1000.
Then, you simplify the fraction.
e.g. 8465 956/1000 can be simplified into 8465 239/250
how do i transform fractions into powers
Is it possible to have two decimals in the same number
ex. 1.32.454
ex. 1.32.454
no, it is not. although some percentages, such as 290.35% kind of have two, but not really.
What if it's an odd number? Or a number that just can't divide evenly? Then do we split the decimal into more? Does that make it more complicated? And what if a beginner encounters it?
can you please go slower ????
hey mvegareagan by the way what a rude thing to say you are a meen person dont talk to me that way why dont you stop being lazy find a girl friend {like you even have one}and get a life
rewatch the video.
rewatch this video.
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.
oh i dont get it i just dont
so how are you suppose to help me
Do you have a specific question?
at first i had it but now this video has made me confused so is there another video to help me?
Who did this video? I like it!
AWESOME THIS SHOW HELPED ME A LOT ;0
thanx khanacademy
thanx khanacademy
how do you simplifying frations
whats the answer to 7 over 26
Is 0.999999 with an endless number of nines equal to 1? I'm thinking it may be true because 0.33333333 with an endless number of threes is equal to 1/3 and 3 thirds is equal to one.
How do you simplify a fraction
To simplify a fraction, all you need to do is find the common denominator.
Don't really know if I spelled that right, but yeah. :D
Don't really know if I spelled that right, but yeah. :D
How do you do a shortcut for this.
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
33 1/3 expressed as a fraction in lowest terms
Where is the little 'Send Thanks to Sal' button? I don't see it on this video.
If I had, I would've sent thanks, but it's not there!!
If I had, I would've sent thanks, but it's not there!!
Good vid. Made it easier to understand!
I dont understand how to take a decimal and turn it into a fraction and then simplify it.. Please help me!!!
so you would just move the decimal place over? and put it over the place value?
a good way to change decimals into a fraction is to put the decimal over that many place values over. for example, 0.75 it goe back to hundredthshundred so it would be 75/100 which will simplify to 3/4. Another example is 0.12374923.Now thats a big number but its place value is 100 millionth so it would be 12374923/100 million.those are some examples on what to do
how do i multiply
what do you mean
I don't get it
how do you turn 2.57 into a fraction
o i get it now he explains it a lot better
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. :)
Division of decimal by whole number
Can this appear on the CST's?
I really dont get any of this, well...........ummm oh I dont get what he is trying to say and will any of you help me
how does this work with a big number
He is a math genius
what if it dosent have a whole # ?
how do you convert a decimal into a percentage?
Whats that suppose to mean.
move the decimal 2 places to the right
@kayliels it would mean:
.54 = 54%
__^
2.89 = 289%
__^
.0095 = .95%
__^
.54 = 54%
__^
2.89 = 289%
__^
.0095 = .95%
__^
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
.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.
2/625!!!!!!!!!!!
2/625
i have very difficutl promble in rationalnumber
can you help me?
can you help me?
is this video even about rational number?
how do you convert 0.0735 to a fraction huh I really need to know
I don't get it when you say the 27 I was with you till then tell me more
i need to write each decimal as a percent i don know how
To write a decimal as a percent, multiply it by 100, then add on the % symbol. You then move the decimal point two spaces to the right.
Example:
100 x .20 = 20.00 which equals 20%
100 x .53 = 53.00 which equals 53%
Hope this helps! :)
Example:
100 x .20 = 20.00 which equals 20%
100 x .53 = 53.00 which equals 53%
Hope this helps! :)
NOTICE  Your video Converting fractions to decimals has a problem and is not working. You should look into it sometime.  NOTICE
i know what ya mean. it just cuts off for me. i got too frustrated to figure it out
How do I easily find a Common Denominator? I understand what they are but how is the fastest way without Guess and Check? Is it simply X demoninator times Y denominator and Y denominator times X denominator? Or does that not always work?
13 divided by 8 = what in decimal
what about 5 .54 i do not get that
in 1.43 isnt 2 75/100 a mixed number. The problem says put it in a simplefied fraction,NOT A MIXED NUMBER?/
How would one convert a negative fraction to a decimal?
into a negative decimal.
How do you do this without a whole?? EX: 1.556
how do i get to the practice problems
go on to your file then scroll down a little then just choose one of those practice problems
how did he get the answer i don;t under stand this can some one help
Are you even watching the video?
Look at my answer to the very first questiion.
How do you add Decimals and fractions?
convert the decimal to a fraction or vice versa, and then proceed as the form dictates
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?
how do you know that
At 0:00 why did they pick 2.75
I still don't get it. explain this to me. I am having trouble on this concept.
how do you change a decimal into a fraction?
how do you move between fractions and decimals
how to add a fraction and a decimal together
Make the decimal into a fraction. Then cross multiply.
1/4 x 0.3 =
1/4 x 3/10 = 1x3/4x10 = 0.075
1/4 x 0.3 =
1/4 x 3/10 = 1x3/4x10 = 0.075
how do you get the answer
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.
what if the number is 7.425? How do I turn it to a fraction and simplify it?
the same way in the video
Turn 1.5 to a fraction
Everyone has soooo many more points then i do, how do you get so many?
you play a lot of math games or watch math videos
so it depends on how big the number is to put 100 or 10 or 1000 so like
.97=97/100!
.97=97/100!
What do decimals and fractions have in common?
Well, you can think of it this way. Fractions are decimals, but just look different. Take 3/4 for example. That can also be written as 75/100. To get there, we need to do 4 times 25 and then 3 times 25. Then to write it as a decimal it would be 0.75. You might have another number before that, but that's another story.
I've been watching the same video over and over again trying to figure out what steps you used and how I could do that when I have a problem that is similar to the problem you are giving us an example of and yet I have no clue what you are doing or how I should do it. I really need help with this stuff...
cant you just put 2.75 into 75/100 and simplipy it isnt it way easier than adding 7/10 and 5/100 because 75 is more than 10 and 5 is in the 100's place and it takes lesser time well that is how i got tought.and for 75/100 an easier way is thinking that 75 is 3 quarters and 100 a dollar equal to 4 quarters
no that is not what i meant i meant to say that you leave the 2 how it was and add it.........
and then you have 2 3/4
and then you have 2 3/4
If that's what you meant :)
2.75 would actually be 275/100. You'd be converting it into a mixed number
how do you know how to convert decimal to fractions like 11/24????? help please ASAP
no, but i watch khanacademy
im counfused can anybody tell me the answer
if the whole, numerator and denominator are able to be reduced would reduce all the whole, numerator and denominator or just the numerator and the denominator?
how do find the lcm
how to add decimals and fractions
You will turn the decimal into a fraction, and then add.
ex. .37 + 11/100
.37 = 37/100
37/100 + 11/100 = 48/100 reduced to 12/25.
ex. .37 + 11/100
.37 = 37/100
37/100 + 11/100 = 48/100 reduced to 12/25.
i like the video but it needs to be explained a little bit easier
Hey on multiplication I steel don't get it
How do I convert a decimal as a fraction or mixed number
so you can just add the fraction by making a picture.
yes, if you do it like he showed then it would make it alot easier!!!
yes. it will help u visualise it
I think so. But their might be a easy way too.
Hey guys, I just figured out an amazing shortcut to converting decimals to fractions. If you already know how to read decimals, it should be easy. By that, I don't mean, (four point three two one). I mean, (four and three hundred twentyone thousandths). If you don't know how to read decimals, check out this link:
http://www.mathgoodies.com/lessons/decimals/read_write.html
Okay, back on topic. An easy way is to just read the decimal out loud, then write down the fraction just like it sounds. Here's an example:
Write 4.93 as a simplified fraction.
First, read it out loud to yourself.
_Four and ninetythree hundredths._
Now, write it down just like you read it.
4 93

100
Last but not least, simplify the fraction if necessary.
Pretty cool shortcut, huh?
http://www.mathgoodies.com/lessons/decimals/read_write.html
Okay, back on topic. An easy way is to just read the decimal out loud, then write down the fraction just like it sounds. Here's an example:
Write 4.93 as a simplified fraction.
First, read it out loud to yourself.
_Four and ninetythree hundredths._
Now, write it down just like you read it.
4 93

100
Last but not least, simplify the fraction if necessary.
Pretty cool shortcut, huh?
i still don't get it can u help me
Report a mistake in the video
Example:
At 2:33, Sal said "single bonds" but meant "covalent bonds."
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