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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
.