# Comparing Decimals and Fractions

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To compare a decimal and a fraction,

first convert, or change, one of the numbers so that we have either two decimals or two fractions. Then, compare as usual.

For example: Let’s compare
1 2
and 0.72.

First, let's write the fraction as a decimal.

Write
1 2
as an equivalent fraction with 10 as the denominator.

 1 2
=
 1 × 5 2 × 5
=
 5 10

Now, write
5 10
as a decimal.

 5 10
0.5

So,
 1 2
=
 5 10
0.5 .

Now, compare 0.5 and 0.72.

As the tenth digit of 0.5 is less than the tenth digit of 0.72,

0.5 < 0.72

So,
 1 2
0.72 .

ds

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