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Fractions XV Multiplication of Fractions with Mixed Numbers by Monica Yuskaitis

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Copyright © 2000 by Monica Yuskaitis 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

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Copyright © 2000 by Monica Yuskaitis 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.

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Copyright © 2000 by Monica Yuskaitis Multiplying Fractions Conceptual Understanding ¼¼¼¼ 1/8 1¼ x ½ = 5/8 1/8 ¼¼¼¼

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Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Mixed Number The first thing to remember is of means multiply in mathematics. of = x

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Copyright © 2000 by Monica Yuskaitis 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

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Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Mixed Number Step 2 – Change the mixed number to an improper fraction. x x

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Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Mixed Number Step 3 – Multiply the numerators straight across. x =

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Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Mixed Number Step 4 – Multiply the denominators straight across. x = 18

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Copyright © 2000 by Monica Yuskaitis 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 = )

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Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 1 4 = x 4 7 x )

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Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 4 7 = x 1 9 x ) ÷ ÷ 7 7 = 7 9

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Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 4 5 = x 3 4 x ) ÷ ÷ 4 4 = 2 5

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Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 2 5 = x 1 4 x ) ÷ ÷ 10 = 1 2 Youre shining!

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Copyright © 2000 by Monica Yuskaitis Credits Clipart from Microsoft Clip Gallery located on the Internet at clipgallerylive/default.asp

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