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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 Changing Fractions to Decimals = 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 .

Examples

Example 1

Change Changing Fractions to Decimals to a decimal.

Solution 1

Changing Fractions to Decimals

Hence, Changing Fractions to Decimals

Example 2

Change Changing Fractions to Decimals to a decimal.

Solution 2

Changing Fractions to Decimals

Hence, Changing Fractions to Decimals

Example 3

Change Changing Fractions to Decimals to a decimal.

Solution 3

Changing Fractions to Decimals

Hence, Changing Fractions to Decimals = 0.2727 …

The repeating decimal can be written as Changing Fractions to Decimals

Example 4

Change Changing Fractions to Decimals to a decimal.

Solution 4

Changing Fractions to Decimals

Hence, Changing Fractions to Decimals = 0.833 … or 0. Changing Fractions to Decimals

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 Changing Fractions to Decimals to a decimal.

Solution 5

Changing Fractions to Decimals

Changing Fractions to Decimals

Hence, Changing Fractions to Decimals

Changing Fractions to Decimals Practice Problems

Practice

Change each of the following fractions to a decimal:

1. Changing Fractions to Decimals

2. Changing Fractions to Decimals

3. Changing Fractions to Decimals

4. Changing Fractions to Decimals

5. Changing Fractions to Decimals

Answers

1. 0.375

2. Changing Fractions to Decimals

3. 0.55

4. Changing Fractions to Decimals

5. Changing Fractions to Decimals

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

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