This document provides instructions and examples for multiplying and dividing fractions. It explains that when multiplying fractions, you change any mixed numbers to improper fractions, cross cancel where possible, and multiply horizontally. When dividing fractions, you keep the first fraction, switch the division sign to multiplication, flip the second fraction, cross cancel where possible, and multiply horizontally. It then gives examples of multiplying fractions like 1/2 x 1/4 = 1/8 and dividing fractions like 3 1/2 / 1 3/4 = 2 1/2 using these methods. The document concludes with a quiz and answers to check understanding of dividing fractions.

1. Multiplying and Dividng Fractions Reciprocal Multiplying Fractions Dividing Fractions QUIZ: Multiplying Fractions QUIZ: Dividing Fractions

2. Multiplying Fractions Change any mixed numbers into improper fractions. Change any whole numbers into improper fractions by putting 1 under the whole number. Cross cancel wherever possible. Multiply horizontally. Reduce if necessary. EXAMPLES

3. Reciprocal To find the reciprocal of a fractions, flip it! You need the reciprocal when dividing fractions! EXAMPLES: 2 3 3 2 2½ = 5 2 2 5

4. Dividing Fractions Change any mixed numbers into improper fractions. Change any whole numbers into improper fractions by putting 1 under the whole number. KEEP – SWITCH - FLIP Cross cancel wherever possible. Multiply horizontally. Reduce if necessary. EXAMPLES

5. Examples of multiplying fractions 1 1 2 3 1 2 1 3 X X 2 = 2 1 X 3 = 3 Another Example 3 8 4 9 X 3 8 4 9 X

6. Examples of multiplying fractions 2 ½ X ¼ 5 1 2 4 X 5 8

7. Examples of dividing fractions 5 10 9 12 KEEP SWITCH FLIP 1 3 4 2 1 4 3 2 x 4 6 2 3 Another Example 5 12 9 10 X

8. Examples of dividing fractions 3 ½ 2 ¼ 7 4 2 9 x 28 18 KEEP SWITCH FLIP 7 9 2 4 1 5 9 1 10 18

9. CHECK ANSWERS

10. Back to Quiz

11. 6 divided by 3 ½ = 4/5 divided by 2/5 = 1 ½ divided by 3 ¾ = 3 ½ divided by 1 ¾ = 2 ½ divided by 2 ½ = 5 1/3 divided by 4/9 = Quiz: Dividing Fractions Check your answers

12. 6 divided by 3 ½ = 1 5/7 4/5 divided by 2/5 = 2 1 ½ divided by 3 ¾ = 2/5 3 ½ divided by 1 ¾ = 2 2 ½ divided by 2 ½ = 1 5 1/3 divided by 4/9 = 12 Answers: Dividing Fractions Back to Quiz