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Chapter 3—Fractions

3-6 Dividing Fractions and Mixed Numbers

When you complete the work for this section, you should be able to:
  • Demonstrate your ability to divide fractions and mixed numbers.
  • Demonstrate your ability to simplify and reduce the results of a division operation.

Division is said to be the "inverse" of multiplication. This is quite apparent when dividing fractions. By siomply "inverting" the divisor, you change the operation from divison to multiplication.

Dividing Simple Fractions

Procedure

To divide proper fractions:

  1. Invert the divisor (the fraction that follows the division sign) and change the operation to multiplication.
  2. Multiply the numerators and denominators.
  3. Reduce or simplify the result as necessary.

Examples

Examples and Exercises

Dividing Simple Fractions

Use these interactive examples and exercises to strengthen your understanding and build your skills: Complete the division operation. Convert to a mixed number or reduce as necessary.

Dividing Mixed Fractions

Procedure

To divide mixed fractions:

  1. Convert the mixed fractions to improper fractions.
  2. Complete the division
  • Change division to multiplication
  • Invert the divisor
  1. Multiply the numerators and denominators
  2. Reduce or simplify the result as necessary

 

Note

A whole-number value can be converted to an improper fraction by setting it over 1.

Examples:  5 = 5/1, 8 = 8/1, 10 = 10/1

Examples

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Examples and Exercises

Use these interactive examples and exercises to strengthen your understanding and build your skills: Complete the division operation. Convert to a mixed number or reduce as necessary.

David L. Heiserman, Editor

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All Rights Reserved

Revised: June 06, 2015