Multiplying Fractions and Mixed Numbers

Objective:

Learn to multiply fractions and mixed numbers.

To multiply fractions, multiply the numerators and the denominators. Then simplify. Example 1

1 × 2 2 3 =

2 6

1 3

Example 2

2 × 3

4

2 × 3 1 4

6 4

1 2 = 1 1

4 2

Steps: 1. First write 2 as 2 1 2. Multiply the

numerators.3. Multiply the

denominators.4. Simplify 5. Convert any improper

fractions to a mixed number.

Your Examples: 3 × 1 5 2

2 × 4 3

9× 1 2

1 × 8 4 9

When multiplying fractions, if the numerator and the denominator of either fraction have common factors, you can simplify before multiplying. 3 × 2 16 18

5 × 312 15

5 × 3 6 5

4 × 427 16

When Multiplying Mixed Numbers:First convert the mixed number to an improper fraction. Then multiply normally and simplify.

1× 8 4 4 9

1 7 × 2 2 8 5