Fractions Xiii

Fractions XIII Multiplication of Fractions IOTA MATH

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

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 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

1/8

¼

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.

1 of 4 x 2 9

How to Find a Fraction of a Fraction  Step 2 – Multiply your numerators straight across.

1 x 4 = 4 2 9

How to Find a Fraction of a Fraction  Step 3 – Then multiply your denominators straight across.

1 x 4 = 4 2 9 18

How to Find the Fraction of a Fraction  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 x 3 = 24 ÷12 = 2 9 4 36 ÷12 3

Multiply and Simplify

4 7 of 4 28 x = 2 3 6 6)28 24 ÷2 4 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

THANK YOU

IOTA MATH