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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, Changing Improper Fractions to Mixed Numbers is the same as Changing Improper Fractions to Mixed Numbers

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 .

Examples

Example 1

Change Changing Improper Fractions to Mixed Numbers to a mixed number.

Solution 1

Divide 17 by 5, as shown:

Changing Improper Fractions to Mixed Numbers

Write the answer as

Changing Improper Fractions to Mixed Numbers

Example 2

Change Changing Improper Fractions to Mixed Numbers to a mixed number.

Solution 2

Divide 15 by 6, as shown:

Changing Improper Fractions to Mixed Numbers

Write the answer as Changing Improper Fractions to Mixed Numbers and reduce Changing Improper Fractions to Mixed Numbers to Changing Improper Fractions to Mixed Numbers . Hence, the answer is Changing Improper Fractions to Mixed Numbers .

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

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

Example 3

Change Changing Improper Fractions to Mixed Numbers to a mixed or whole number.

Solution 3

1. Divide 24 by 6:

Changing Improper Fractions to Mixed Numbers

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. Changing Improper Fractions to Mixed Numbers

2. Changing Improper Fractions to Mixed Numbers

3. Changing Improper Fractions to Mixed Numbers

4. Changing Improper Fractions to Mixed Numbers

5. Changing Improper Fractions to Mixed Numbers

Answers

1. Changing Improper Fractions to Mixed Numbers

2. Changing Improper Fractions to Mixed Numbers

3. Changing Improper Fractions to Mixed Numbers

4. Changing Improper Fractions to Mixed Numbers

5. Changing Improper Fractions to Mixed Numbers

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

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