Fractions XIII Multiplication of Fractions Times You Would

Fractions XIII Multiplication of Fractions

Times You Would Multiply a Fraction Times a Fraction l 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 l 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 l. 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 ¼ ¼ ¼ 1/8 1/8 ¼

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

How to Find a Fraction of a Fraction l Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply. 1 of 4 x 2 9

How to Find a Fraction of a Fraction l Step 2 – Multiply your numerators straight across. 1 x 4 = 4 2 9

How to Find a Fraction of a Fraction l Step 3 – Then multiply your denominators straight across. 1 x 4 = 4 2 9 18

How to Find the Fraction of a Fraction l Step 4 – Simplify your answer. In this case we reduce. 1 x 4 = 4 ÷ 2= 2 2 9 18 ÷ 2 9

Multiply and Simplify ÷ 1 of 9 9 3 3 x = = 6 5 30 ÷ 3 10

Multiply and Simplify 8 of 3 24 12 2 ÷ x = = 9 4 36 ÷ 12 3

Multiply and Simplify 4 7 of 4 28 x = 2 3 6 6)28 24 ÷ 2 4 6 ÷ 2 = 4 3 4

Multiply and Simplify 3 38 3 of 9 27 x = 4 2 8 8)27 24 3

Multiply and Simplify 2 96 7 of 8 56 x = 3 2 6 6)56 54 2 ÷ 2 = 1 9 6 ÷ 2 9 3 2

Multiply and Simplify Super job! 4 18 4 of 3 12 x = 2 4 8 8)12 8 4 ÷ 4 = 11 18 ÷ 4 4 2