Fractions XIV Multiplication of Fractions Created by: Mrs. Yuskaitis Presented by: Mr. McCarthy

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

Times You Would Multiply a Fraction Times a Fraction Jose 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

Multiplying Fractions Conceptual Understanding When 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.

Multiplying Fractions Conceptual Understanding ½ x ¾ = 3/8 ¼¼¼¼ 1/8

How to Find a Fraction of a Fraction The first thing to remember is “of” means multiply in mathematics. of = x

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

How to Find a Fraction of a Fraction Step 2 – Multiply your numerators straight across. x = 4

How to Find a Fraction of a Fraction Step 3 – Then multiply your denominators straight across. x = 4 18

How to Find the Fraction of a Fraction Step 4 – Simplify your answer. In this case we reduce. x = 4 18 ÷ ÷ 2 2 = 2 9

Multiply and Simplify = of x ÷ ÷ 3 3 =

Multiply and Simplify = of x ÷ ÷ 12 =

Multiply and Simplify = )6) 4 of x ÷ ÷ 2 2 = 2 3 4

Multiply and Simplify = )8) 3 of x

Multiply and Simplify = )6) 9 of x ÷ 2 2 = ÷

Multiply and Simplify = )8) 1 of x ÷ 4 4 = ÷ Super job!

Credits Clipart from “Microsoft Clip Gallery” located on the Internet at clipgallerylive/default.asp