# Learn Fractions

Published on June 15, 2007

Author: Brainy007

Source: authorstream.com

Fractions XVMultiplication of Fractionswith Mixed Numbers:  Fractions XV Multiplication of Fractions with Mixed Numbers by Monica Yuskaitis Times You Would Multiply a Mixed Number Times a Fraction:  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 FractionsConceptual Understanding:  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 FractionsConceptual Understanding:  Multiplying Fractions Conceptual Understanding ¼ ¼ ¼ ¼ 1/8 1¼ x ½ = 5/8 1/8 1/8 1/8 1/8 ¼ ¼ ¼ ¼ How to Find a Fraction of a Mixed Number:  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:  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. of x 1 2 4 9 3 How to Find a Fraction of a Mixed Number:  How to Find a Fraction of a Mixed Number Step 2 – Change the mixed number to an improper fraction. x 1 2 4 9 3 x + 27 27 + 4 31 9 How to Find a Fraction of a Mixed Number:  How to Find a Fraction of a Mixed Number Step 3 – Multiply the numerators straight across. x 1 2 31 9 31 = How to Find a Fraction of a Mixed Number:  How to Find a Fraction of a Mixed Number Step 4 – Multiply the denominators straight across. x 1 2 31 9 31 = 18 How to Find a Fraction of a Mixed Number:  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. x 1 2 31 9 31 = 18 18) 31 1 18 13 13 18 Multiply and Simplify:  Multiply and Simplify 1 4 = x 4 7 x 35 35 + 4 5 + 39 7 39 28 28) 39 1 11 28 Multiply and Simplify:  Multiply and Simplify 4 7 = x 1 9 x 27 27 + 1 3 + 28 9 112 63 63) 112 1 49 63 ÷ ÷ 7 7 = 7 9 Multiply and Simplify:  Multiply and Simplify 4 5 = x 3 4 x 24 24 + 3 6 + 27 4 108 20 20) 108 5 8 20 ÷ ÷ 4 4 = 2 5 Multiply and Simplify:  Multiply and Simplify 2 5 = x 1 4 x 24 24 + 1 6 + 25 4 50 20 20) 50 2 10 20 ÷ ÷ 10 10 = 1 2 You’re shining! Credits:  Credits Clipart from 'Microsoft Clip Gallery' located on the Internet at http://cgl.microsoft.com/ clipgallerylive/default.asp

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