# How Do You Turn Decimals Into Fractions?

1/8 converted to decimal
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0.05
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67.5 to fraction
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You can convert decimal to fraction using the place value.example 0.5 the place value of 0.5 is tenth, so it will be 5/10 or 1/2
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To answer this question, you first have to understand some terminology and how decimals work. For instance, 0.123. Some people would read this as " zero point one two three", however the correct way to read 0.123 is " one-hundred twenty-three thousandths." The 1 is in the tenths place, the two is in the hundredths place and the three is in the thousandths place.

To turn a decimal into a fraction you simply look at the largest "place" it has, and divide the shown number by that "place." for instance, we will look at 0.22. The furthest "place" this goes to is the hundredths place. So the fraction would be (22/100). So now we see that both 22 and 100 are divisible(able to be divided) by 2. So the simplified fraction of 0.22 is (11/50)

another example would be 0.175. The largest "place" this goes to is the thousandths place, so this fraction would be (175/1000). So now we see both numbers are divisible by 25. So the simplified fraction of 0.175 is (7/40)
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Step 1.  Write your decimal number down - I'll use three examples; example 1.33; example 2. 2.357, example 3, 2.1    Step 2.  The total of numbers after the decimal point will tell you what your fraction is.    So;    Ex 1:  1.33 - how many numbers after the decimal point - 2, so your deciaml will be a fraction of 100    1.33 becomes 1 and 33/100 in fractions    Ex 2: 2.357 - how many numbers after the decimal point - 3 so your decimal will be a fraction of 1000    2.357 becomes 2 and 357/1000    Ex 3: 2.1 - how many numbers after the decimal point 1, so your deciaml will be a fraction of 10    2.1 becomes 2 and 1/10    Step 3: Always reduce your fraction to the smallest form, eg. 2.2 become 2 & 2/10 becomes 2 & 1/5    I hope this helps
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Anonymous commented
You guys need to know that you write your number as your numerator and 100 as your denominator then simplify! That easy!!!!
You turn a decimal into a fraction by recognizing the place value of the digits of the decimal number.

Examples
.06 = 6/100
.125 = 125/1000

Once you have a fraction like this, you may have to reduce it. In general, this is possible only if the numerator is divisible by 2 or 5. (This is true because the powers of 10 in the denominator are only divisible by 2 or 5.)

6/100 = (3*2)/(50*2) = 3/50
125/1000 = (1*125)/(8*125) = 1/8
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If the decimal is a repeating decimal, the process is slightly trickier. For this, you put the repeating portion of the decimal over a string of 9s with the same number of digits.

Examples
.3333... = 3/9 = 1/3
.1111... = 1/9
.4444... = 4/9
.1818... = 18/99 = 2/11
.142857142857... = 142857/999999 = 1/7

Once you learn to recognize repeating 3 as 1/3 and repeating 6 as 2/3, you can solve these, as well. (Note there is a non-repeating portion ahead of the repeating portion.)

.16666... = (16 2/3)/100 = 50/300 = 1/6
.83333... = (83 1/3)/100 = 250/300 = 5/6

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Converting decimals into fractions is easy once you've gotten a grasp of the basic rules. Here's how you can learn the practice of converting:

In order to convert a decimal into a fraction, all you have to do is change the decimal into a numerator, that is, the number which is situated on the top in a fraction. To decide what the denominator will be, you simply have to put as many zeroes as the number of decimal places in the numerator. For example, 0.25 if turned into a fraction would be 25/100 which is equals to ¼ when simplified and you have obtained your corresponding fraction. To turn the fraction back into a decimal is even simpler. All you have to do is simply perform the division process between the denominator and numerator – ¼ equals to 0.25.
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Anonymous commented
HOW DO I TURN 12.999 DIVIDED BY 2.11 INTO A FRACTION
How to turn a decimal to a fraction is 1/10 is 10 2 /10 is 20 and on and on now 1/2 is 50 so 2/2 is 100 now 1/3 is 33 1/3 so 2 /3 is 66 1/3 and 3/3 is 99 1/3
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The solution is very easy. You need to remember only one rule for it.
For example a figure of fraction is 5.632. Here to turn it into decimal you can remove the fraction and add as many zeros as numbers in the right side of the fraction. The solution is

5632/1000
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Change 6.7 to a fraction please
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You can use a calculator and divide numerator by denominator or GAY
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-0.4
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Convert .093 to fraction
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Use your knowledge of place value to write it in expanded form, and add it up.

Example
.123 = 1/10 + 2/100 + 3/1000
= 100/1000 + 20/1000 + 3/1000 = 123/1000
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You just simplify put the decimal as a numerator then put the 100 as the denominator. Then you simplify it until you can't no more. For example  0.20.            20/100 if you simplify it, it turns into 1/5.
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Anonymous commented
I need to learn how to turn a frction to a decimals and decimals to fractions 