Chapter Contents

• Factoring and Fractions
• 1. Special Products
• 2. Common Factor and Difference of Squares
• 3. Factoring Trinomials
• 4. The Sum and Difference of Cubes
• 5. Equivalent Fractions
• 6. Multiplication and Division of Fractions
• 7. Addition and Subtraction of Fractions
• 8. Equations Involving Fractions
• Factoring and Fractions Problem Solver

• Comments, Questions?

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6. Multiplication and Division of Fractions

Recall the following fraction facts:

When multiplying by a fraction, multiply numerators and multiply denominators:

If you can, simplify first :

(I canceled the 13 & 39 to give 1/3 and the 12 with the 24 to give 1/2.)

When dividing by a fraction, invert and multiply:

(I multiplied by the inverse of 2/7, which is 7/2)

When we do the same things with algebraic expressions, remember to SIMPLIFY FIRST, so that the problem is easy to perform.

Example 1

Simplify

Answer;

Simplifying first, we cancel the 11 in the first fraction with the 33 on the bottom of the second fraction:

Example 2

Simplfy:

Answer

Example 3

Simplify:

Answer

Exercises

Simplify:

(1)

Answer

(2)

Answer

(3)

Answer