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.
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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.
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
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.
you find the percent then you multiply that percent by 100
you have to convert the fraction into a decimal then you can make it into a percent
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
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%
Would make it out of 100 or divide it by 100
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.
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.
ya exactly
it like kurkure
it like kurkure
Ew no they NASTY
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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
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
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.
If you think of quarters than you know .25 is equal to 1/4 so you know that .75 is equal to 3/4.
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 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?
i agree. what colors are you talking about
what colour do you mean
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*.
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.
what if you have an improper fraction?
change it into a mixed fraction, hope it helps! :)
It's accualy called a mixed number. But to get a mixed number, divide the numerator by the denominator and put the remainder in the numerator of the fraction and your answer as a whole number beside the fraction. (to the left)
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?
I was a little lost but after watching the video again i got it
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 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%
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.
how do you convert 22/32 into decimals
You have to divide 22 by 32.
oh i dont get it i just dont
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
Great! loved it it helped so much!
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
were can i answer the problem at.
what if the number is 7.425? How do I turn it to a fraction and simplify it?
the same way in the video
Which is closer to 0.8. 0.6 or 0.8
0.8 is closer because 0.6 is 0.2 away from 0.8 while 0.8 is exactly 0.8 making it closer
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 do you change a fraction into a decimal and vise versa?
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?
how do you covert improper fractions to decimals?
First convert the improper fraction to a mixed number, then convert the fraction of the mixed number to a decimal and add it to the whole number part of the mixed number. Example: 5/4 > 1 and 1/4 > 1 and 0.25 > 1.25
you can convert the fraction to a mixed number, and then convert the mixed number into a decimal
how do you turn 2.57 into a fraction
how do you convert 6 * 10^2 to a decimal
how do you know how to convert decimal to fractions like 11/24?????
I don't get it
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.
how do i transform fractions into powers
how do you simplify
You simplify by using the LCM for example 4/8 is 2/4 or 1/2 because I can divide 4 and 8 by both 2 and four but it has to be same divisor for both like 12/24 is 1/2 if you divide both by two and 1/2 half cant be simplified make sure you can't simplify anymore before answering or it will be wrong. :)
i have to do a website for homework that is VERY HARD it has decimals and fractions.I am only in third grade.PLEASE HELP ME!
I dont know what the powers stand for like 10 to the first power, what is their use?
Turn 1.5 to a fraction
ladora i need help
how do you simplifying frations
What is a simpleisd fraction
A simplified fraction is a fraction that can't divide anymore for example:
1/3 is a simplified fraction because this fraction does not have anymore common denominators. This fraction probably was something like 3/6 then was divided down to 1/3 because 3 and 6 have a common denominator of 3 so 3 became 1 and 6 became 3 because 3 divided by 1 is 3 and 6 divided by 2 is 3. so that's why 1/3 is a simplified fraction.
1/3 is a simplified fraction because this fraction does not have anymore common denominators. This fraction probably was something like 3/6 then was divided down to 1/3 because 3 and 6 have a common denominator of 3 so 3 became 1 and 6 became 3 because 3 divided by 1 is 3 and 6 divided by 2 is 3. so that's why 1/3 is a simplified fraction.
1 on 3 pluse 2 on 3
I am still a little stuck on this. Can someone help!
I dont understand how to take a decimal and turn it into a fraction and then simplify it.. Please help me!!!
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
so you would just move the decimal place over? and put it over the place value?
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
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?
What is a fraction and decimals, please help me learn this!
How do you solve application problems that involve quadratic equations
Is there a good trick to desmals and fractions
I didn't get this until now.But now I am stuck on doing the second one.
create an equivalent decimal notation and decimal fraction
deshaun can you help me
What is 3/7 times 56
how to add decimals and fractions
ok if you have 2/3 + 1/7 it might be 3/10 LEAVE ME ALONE SPARKLEZ
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 i add a fraction
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 do this without a whole?? EX: 1.556
this is easy thanks
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
How to you multiply fractions
When applying the video to 0.66, the fraction would be 33/50. Now why is 0.666666=2/3 or how is 0.66=2/3 simplified?
2:08 How do you know if you have reduced the fraction enough to become a simplified fraction?
you check to see that the numerator and denominator are coprime which means that the GCD of the two is 1
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
Awesome helped me alot
How do you do a shortcut for this.
how do you change a decimal into a fraction?
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.
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
What does fraction mean?
a part of a whole
how do you move between fractions and decimals
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...
How do you turn .38 to a fraction
thanks , this is great help : )
your welome
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
Who do you do that
like who did you get your fraction
how do you find the x in algebra?
Example: y times x = square root of 16
What is x?
Example: y times x = square root of 16
What is x?
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.
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!!
how do you turn it to simplest form
How do I write a fraction as a decimal which doesn't have a denominator that is 10 or a power of 10?
You have to divide the numerator of the fraction by the denominator.
at first i had it but now this video has made me confused so is there another video to help me?
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
you simplyfly fractions to make then simpler
simplified means to make a fraction easier like make 4/8=1/2
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
If that's what you meant :)
2.75 would actually be 275/100. You'd be converting it into a mixed number
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
what if there's not a whole # like this 0.453 then how do you do it
I don't get how to convert fractions into decimals and vise versa
I don't get it when you say the 27 I was with you till then tell me more
what about 5 .54 i do not get that
i still don't get it can u help me
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.
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?
awesome i got it
any body out there that know how to get black hole badges
answer soon
answer soon
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!)
this might make sence to others ok? for most people like me the first thing I do when i see a number like 2.75 is first i think : i know two is my whole number and everything after is my fraction. my fraction in this case is " .75 " so i ( me personaly) know that .75= 3/4 so i end up with 2 and 3/4
this is an answer for tayyabah.ahmed
p.s.  these type of problems are easier if u memorise your fractions and decimals
this is an answer for tayyabah.ahmed
p.s.  these type of problems are easier if u memorise your fractions and decimals
"2:01" So we're supposed to find the largest number that fits into both?
Oh! I get it. Thanks!
how do you convert 0.0735 to a fraction huh I really need to know
Who did this video? I like it!
AWESOME THIS SHOW HELPED ME A LOT ;0
thanx khanacademy
thanx khanacademy
how do i ask my teachers questions
You raise your hand and ask them
so it depends on how big the number is to put 100 or 10 or 1000 so like
.97=97/100!
.97=97/100!
13 divided by 8 = what in decimal
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