# Converting Decimals to Fractions

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We know that decimals are fractions that have powers of ten as their denominators.

To write a decimal as a fraction, we use place values.

For example:

Consider the decimal 0.15.

It can be written in the place value chart as follows:

 Ones . Tenths Hundredths 0 . 1 5

We know that 1 tenth is same as 10 hundredths.

So, 0.15 is 15 hundredths.

Now, write 15 hundredths as a fraction.

15 hundredths =
 15 100

Now, simplify the fraction.

 15 100
=
 15 ÷ 5 100 ÷ 5
=
 3 20

So, the decimal 0.15 can be written as the fraction
3 20
.

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