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# Changing Improper Fractions to Mixed Numbers Help

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

## Changing Improper Fractions to Mixed Numbers

An improper fraction can be changed into an equivalent mixed number. For example, is the same as

To change an improper fraction to an equivalent mixed number, first divide the numerator by the denominator and then write the answer as a whole number and the remainder as a fraction with the divisor as the denominator and the remainder as the numerator. It may be necessary to reduce the fraction .

#### Example 1

Change to a mixed number.

#### Solution 1

Divide 17 by 5, as shown:

#### Example 2

Change to a mixed number.

#### Solution 2

Divide 15 by 6, as shown:

Write the answer as and reduce to . Hence, the answer is .

Math Note: Any fraction where the numerator is equal to the denominator is always equal to one. For example, = 1; , etc.

Improper fractions are sometimes equal to whole numbers. This happens when the remainder is zero.

#### Example 3

Change to a mixed or whole number.

#### Solution 3

1. Divide 24 by 6:

2. Write the answer as 4.

### Changing Improper Fractions to Mixed Numbers Practice Problems

#### Practice

Change each to a mixed number in lowest terms:

1.

2.

3.

4.

5.

1.

2.

3.

4.

5.

Practice problems for these concepts can be found at: Fractions Basic Concepts Practice Test.

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