Multiplication of Fractions with Mixed Numbers

Times You Would Multiply a Mixed Number Times a Fraction 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 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 1¼ x ½ = 5/8 ¼ ¼ ¼ ¼ 1/8 1/8 1/8 1/8 ¼ ¼ ¼ ¼ 1/8

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

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

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

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

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

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

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

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

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

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