1. Fractions Multiplication of Fractions

2. Copyright © 2000 by Monica Yuskaitis Times You Would Multiply a Fraction Times a Fraction Your family eats 1/8 of 1/2 of a left over wedding cake. 1/8 of 1/2 or 1/8 x 1/2

3. Copyright © 2000 by Monica Yuskaitis Times You Would Multiply a Fraction Times a Fraction Jose had already read 1/2 of his novel. Today he read 1/12 of the 1/2 left. How much of the book has he read? 1/12 of 1/2 or 1/12 x 1/2

4. Copyright © 2000 by Monica Yuskaitis Multiplying Fractions Conceptual Understanding When you multiply two fractions that are between 0 and 1 the product is smaller than both fractions. ½ x ¾ = 3/8 Look at the diagram on the next slide to understand why.

5. Copyright © 2000 by Monica Yuskaitis Multiplying Fractions Conceptual Understanding ½ x ¾ = 3/8 ¼¼¼¼ 1/8

6. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Fraction The first thing to remember is “of” means multiply in mathematics. of = x

7. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Fraction Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply. of x 1 2 4 9

8. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Fraction Step 2 – Multiply your numerators straight across. x 4 9 1 2 = 4

9. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Fraction Step 3 – Then multiply your denominators straight across. x 4 9 1 2 = 4 18

10. Copyright © 2000 by Monica Yuskaitis How to Find the Fraction of a Fraction Step 4 – Simplify your answer. In this case we reduce. x 4 9 1 2 = 4 18 ÷ ÷ 2 2 = 2 9

11. Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 9 5 1 6 = 9 3010 3 of x ÷ ÷ 3 3 =

12. Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 3 4 8 9 = 24 363 2 of x ÷ ÷ 12 =

13. Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 4 3 7 2 = 28 6 6)6) 4 of x 24 4 4 4 6 ÷ ÷ 2 2 = 2 3 4

14. Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 9 2 3 4 = 27 8 8)8) 3 of x 24 3 3 8

15. Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 8 2 7 3 = 56 6 6)6) 9 of x 54 2 2 6 9 2 6 ÷ 2 2 = 9 1 3 ÷

16. Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 3 4 4 2 = 12 8 8)8) 1 of x 8 4 4 8 1 4 8 ÷ 4 4 = 1 1 2 ÷ Super job!