**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* .

**Examples**

**Example 1**

Change to a decimal.

**Solution 1**

Hence,

**Example 2**

Change to a decimal.

**Solution 2**

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.

**Solution 5**

Hence,

**Changing Fractions to Decimals Practice Problems**

**Practice**

Change each of the following fractions to a decimal:

1.

2.

3.

4.

5.

**Answers**

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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