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Chapter 3—Fractions
36 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:  Invert the divisor (the fraction that follows the division sign) and change the operation to multiplication.
 Multiply the numerators and denominators.
 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:  Convert the mixed fractions to improper fractions.
 Complete the division
 Change division to multiplication
 Invert the divisor
 Multiply the numerators and denominators
 Reduce or simplify the result as necessary

Note A wholenumber value can be converted to an improper fraction by setting it over 1. Examples: 5 = ^{5}/_{1}, 8 = ^{8}/_{1}, 10 = ^{10}/_{1} 
Examples
EgViewer01.asp 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.  