Multiplication of Fractions with Mixed Numbers Times You

Multiplication of Fractions with Mixed Numbers

Times You Would Multiply a Mixed Number Times a Fraction l In a car race, the track is 2 ¼ miles long. If the car breaks down ½ way through the course, how far did you go? 1/2 of 2 1/4 or 1/2 x 2 1/4

Multiplying Fractions Conceptual Understanding l When you multiply a positive mixed number by a fraction between 0 and 1 the product is less than the mixed number. 1¼ x ½ = 5/8 Look at the diagram on the next slide to understand why.

Multiplying Fractions Conceptual Understanding ¼ 1¼ x ½ = 5/8 ¼ ¼ ¼ 1/8 1/8 ¼ ¼ 1/8

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

How to Find a Fraction of a Mixed Number l Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply. 1 of 4 x 3 2 9

How to Find a Fraction of a Mixed Number l Step 2 – Change the mixed number to an improper fraction. 27 + 4 1 x 3 4 31 2 27 9 9 + x

How to Find a Fraction of a Mixed Number l Step 3 – Multiply the numerators straight across. 1 x 31 = 31 2 9

How to Find a Fraction of a Mixed Number l Step 4 – Multiply the denominators straight across. 1 x 31 = 31 2 9 18

How to Find a Fraction of a Mixed Number l Step 5 – Simplify your answer. In this case change the improper fraction to a mixed number. 13 118 1 x 31 = 31 18)31 2 9 18 18 13

Multiply and Simplify 35 + 4 1 x 5 4 39 = 39 4 35 7 7 11 28 28) 39 + x

Multiply and Simplify 27 + 1 4 x 3 1 28 = 112 7 27 9 9 63 ÷ 7 49 7 1 63 ÷ 7 = 9 63)112 + x

Multiply and Simplify 24 + 3 4 x 6 3 27 = 108 5 24 4 4 ÷ 20 8 4= 2 5 20 ÷ 4 5 20)108 + x

Multiply and Simplify You’re 24 + 1 shining! 2 x 6 1 25 = 50 5 24 4 4 20 ÷ 10 10 1 2 20 ÷ 10 = 2 20)50 + x