Decimals

# Converting between fractions and decimals

## 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.
Back

## Decimal to simplified fraction

Discussion and questions for this video
How do you add Decimals and fractions?
convert the decimal to a fraction or vice versa, and then proceed as the form dictates
can i do this
Yes you can! You CAN learn anything! Believe and you can achieve! Strive for greatness! don't let anyone tell you that you can't do something! Prove them wrong! I believe in you! :) Have a great day! :D
can anybody please tell me how to simplify a fraction please. :-)
1 Comment
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.
How do you turn .45 into a fraction
The decimal ends at the hundredths place so the answer is just:
45/100
You can reduce this to:
9/20
75 is equal to 3/4 because 1/4 is know as one quarter and 3 quarters(3/4) is 75! Therefore, 2.75 is simply 2 3/4! Am i wrong?
nope :) its right :)
How do you turn a percentage to a decimal when there is two numbers behind the decimal
Round the decimal until you've achieved two remaining numbers. Start rounding from right to left in order to round apprporiately.
dony understand
What is 7/10 equal to as a decimal.
7/10 equal 0.7 as a decimal and in case you need a percent, 70%
At 00:39 why did you divide 2/2?
i wanted to know if there is 10 x .994 what would the answer be because it didnt make sence because of this video
To multiply a decimal number by 10 you move the decimal point to the right once. So

10 x 3.45 = 34.5
10 x 12.3 = 123.0
10 X .994 = 9.94


If the number you are multiplying by 10 is an integer, then write it as a decimal number first, so:

5 x 10 = 5.0 x 10 = 50.0 = 50

Steven was asked to add a given number by 3/5. By mistake he multiplied the given number by 3/5 and got the number which is 60% of that number. Find the number?
Not sure I understand the simplification process entirely..

When Sal says you find the lowest number that both are divisible by, firstly, how does he know that so quickly (and how do you work it out) and second, when he says 25, can you not go lower? Are not 100 and 75 both divisible by 5 which is lower?
Can you make a video on how to simplify fractions?
1 Comment
isn’t 2.75 = 275/100?
1 Vote
Yes, 2.75 = 275/100, but we can simplify that. It simplifies into 2 75/100 which simplifies down again to 2 3/4.
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.
This is a really good video for someone who is struggling on simplifying decimals or fractions. I personally already knew the answer but I had to teach someone step by step on how to simplify and this video really helped me do that. 🤓😎🤗🤑🙄🤔🤐🤕🤒🙂🙃☺️😋😌✍🏼📔📒📓✏️📝🖌🔍🔎🖍🖋✒️💚
That's awesome! However, can you please make sure that everything you post as a question is in fact a question, and not a tips and thanks? Thank you!
how do you convert 22/32 into decimals
You have to divide 22 by 32.
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.
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.
1 Comment
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! :)
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)
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!
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.
HELP!! How do you do percent times percent? It is so confusing...
1 Vote
1 Comment
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%.
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
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 seventy-five one-hundredths" (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:
how to simplify fraction
Let's examine the fraction 2/4.
The first step is to determine the largest number that evenly divides the numerator and the denominator (also called the Greatest Common Factor of these numbers). In other words, what's the biggest number that goes into '2' (the numerator) and '4', the denominator?

Once you've answered step 1 and realized that, for our fraction at least, the greatest number that evenly divides 2 and 4 is '2'. Now divide the top and the bottom by 2 to get your simplified fraction which is ½.
What if you have 4 numbers behind the decimal?
if you have 4 numbers after the decimal than you put that number over 10000 and simplify if needed.
My video won't play. Somebody please explain how to do this
Try shutting your device on and off, or just switch devices.
who is "Sal" in the video ?
He is a creator of Khanacademy. He makes some of the math videos on Khan Academy.
http://en.wikipedia.org/wiki/Salman_Khan_%28educator%29
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.
what is 5+45-34+5
first you add 5+45 than 50-34 than 16+5
.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.
0.875 convert to fraction
it is 875/1000
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?
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.
1 Comment
What is decimal Fraction? Give basic concept about decimal fraction.
They are asking you to convert a fraction into a decimal or a decimal into a fraction. To convert a fraction into a decimal divide the top number by the bottom number.
I was a little lost but after watching the video again i got it
Watch the Video to undestand more deeply and then do the skill
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 twenty-three hundredths. There is a fraction with the same name.
1 Comment
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?
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
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
how do you convert a decimal into a percentage?
@kayliels it would mean:

.54 = 54%
|__^

2.89 = 289%
|__^

.0095 = .95%
|__^
so you can just add the fraction by making a picture.
yes. it will help u visualise it
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!
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?
:)
well i need a lot of help on decimals and fractions,can you help me please?
1 Vote
1 Comment
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!
1 Vote
1 Comment
decimails are very simple because the friction from convort into point from OK!
THAKS
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
Isn't it easier to just divide the numerator with the denominator, to convert to decimals?
I think that this video really would help someone who is struggling with simplifying fractions or decimals. It really shows you step by step how to add and simplify
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