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Can decimals be fractions

Updated: 9/20/2023
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Neemagreen37

Lvl 1
12y ago

Best Answer

Yes, decimals can be converted to fractions. Here's how:

Example:

0.36 as a fraction is 36/100 (or simplified to 9/25)

Solution:

1.) Rewrite the decimal as a fraction with the denominator (bottom number) as 1.

0.36 = 0.36/1

2.) Look at the last number to the right of the decimal, and determine what its place value is (look at the underlined number below).

0.36 = 6 is the last number to the right. Its place value is in the hundredths place

3.) Multiply the numerator and denominator by 100 since the place value of the last number in the decimal is hundredths.

0.36/1 x 100 (for both numerator and denominator)

0.36 x 100 = 36

1 x 100 = 100

As a fraction, that would be 36/100

4.) After you've done that, the last step is to simplify your answer. Find the GREATEST COMMON FACTOR for 36 and 100 (In simple terms, find a number that can be divisible or divided by a number). After you find the GCF, divide the numbers.

The GCF of 36 and 100 is 4.

36 divided by 4 is 9

100 divided by 4 is 25

So... 36/100 can be simplified or reduced to 9/25

The final answer is 9/25. I hope this helped!

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simplicitiii

Lvl 4
3y ago
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Wiki User

12y ago

decimals can convert to fractions

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