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# Changing Fractions to Decimals Help

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By — McGraw-Hill Professional
Updated on Sep 21, 2011

## Changing Fractions to Decimals

A fraction can be converted to an equivalent decimal. For example = 0.25. When a fraction is converted to a decimal, it will be in one of two forms: a terminating decimal or a repeating decimal .

To change a fraction to a decimal, divide the numerator by the denominator .

#### Example 1

Change to a decimal.

Hence,

#### Example 2

Change to a decimal.

Hence,

#### Example 3

Change to a decimal.

#### Solution 3

Hence, = 0.2727 …

The repeating decimal can be written as

#### Example 4

Change to a decimal.

#### Solution 4

Hence, = 0.833 … or 0.

### Changing Mixed Numbers to Decimals

A mixed number can be changed to a decimal by first changing it to an improper fraction and then dividing the numerator by the denominator.

#### Example 5

Change to a decimal.

Hence,

### Changing Fractions to Decimals Practice Problems

#### Practice

Change each of the following fractions to a decimal:

1.

2.

3.

4.

5.

1. 0.375

2.

3. 0.55

4.

5.

Practice problems for these concepts can be found at: Decimals Practice Test.

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### Related Questions

#### Q:

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