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**Multiplying Fractions & Mixed Numbers**

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Objective Multiplying mixed numbers Copyright © Ed2NetLearning.Inc

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Prerequisite Skill Convert the mixed fraction into improper fraction 3 1/ /6 2 2/3 - 8/3 2 ½ - 5/2 9 ½ - 19/2 2 2/5 - 12/5 Copyright © Ed2NetLearning.Inc

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**Multiply Mixed Numbers**

To multiply mixed numbers, write the mixed numbers as improper fractions and then multiply as with fractions. Copyright © Ed2NetLearning.Inc

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**Multiply a Fraction and a Mixed Number**

Example. 1 Find ¼ x 3 ¾ ¼ x 4 ¾ = ¼ x 19/4 = 1 x 19 4 x 4 = 19 = 1 3/16 16 Write 4 ¾ as 19/4 Simplify Copyright © Ed2NetLearning.Inc

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Another Example Find 1/3 x 6 4/7 1/3 x 6 4/7 = 1/3 x 46/7 = 1 x 46 3 x 7 = 46 = 2 4/21 21 Copyright © Ed2NetLearning.Inc

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Now Your Turn Multiply. Write in simplest form. ½ x 2 1/3 = 7/6 = 1 1/6 2/3 x 1 1/3 = 8/9 3/5 x 2 ¼ = 27/20 = 1 7/20 4/11 x 2 ¾ = 4/3 = 1 1/3 ¾ x 3 ¼ = 39/16 = 2 5/16 Copyright © Ed2NetLearning.Inc

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**MULTIPLYING MIXED NUMBERS**

To multiply mixed numbers, convert the mixed numbers into improper fractions and multiply the numerator and denominator. Copyright © Ed2NetLearning.Inc

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Example – 1 Find 3 ½ x 1 1/5 3 ½ x 1 1/5 = 7 x 6 = 7 x 6 2 x 5 = 21 = 4 1 Write mixed numbers as improper fractions 3 Multiply the numerator and denominator 1 Copyright © Ed2NetLearning.Inc

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Example – 2 Find 2 ½ x 2 ¾ 2 ½ x 2 ¾ = 5 x 11 = 5 x 11 2 x 4 = 55 = 6 7 Copyright © Ed2NetLearning.Inc

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Now Your Turn Simplify 2 ¼ x 1 1/9 = 2 ½ 2 8/13 x 3 ¼ = 8 ½ 3 2/11 x 5 2/15= 16 1/3 2 3/7 x 4 2/3 = 11 1/3 1 4/5 x 1 ½ = 20 7/10 Copyright © Ed2NetLearning.Inc

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Practice Multiply: 9/10 x 7 2/3 = 6 9/10 10 2/3 x 8 ¼ = 88 2/3 x 2 ½ = 5/3 = 1 2/3 1 2/5 x 1 ¾ = 49/20 = 2 9/20 3/8 x 3 ¾ = 45/32 = 1 13/32 3/5 x 1 ½ = 9/10 4 4/5 x 2 7/10 = 12 24/25 Copyright © Ed2NetLearning.Inc

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Word Problems The length of a rectangle is 3 4/5 feet long and breadth is 2 ¾ feet wide. Find the area of the rectangle? Area = length x breadth = 3 4/5 x 2 ¾ = 1 9/20 ft 2 Copyright © Ed2NetLearning.Inc

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Let’s try this one Find the area of the parallelogram if the formula for finding the area = breadth x height ; breadth = 5 3/5 m; height = 8 4/5 Area = 5 3/5 x 8 4/5 = 49 7/25 m2 Copyright © Ed2NetLearning.Inc

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Review To multiply fractions and mixed numbers, convert the mixed number into improper fraction and multiply. To multiply the mixed fractions, convert the mixed numbers into improper fractions and multiply the numerators and denominators. Then simplify the fractions. Copyright © Ed2NetLearning.Inc

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Assessment Simplify 4 1/7 x 2 ¼ = 9 9/28 3 ½ x 1 1/7 = 4 3 ¼ x 4 1/6 = 13 13/24 ¼ x 6 ¼ = 1 9/16 1 3/5 x 2/3 = 1 1/15 3 ¾ x 2/5 = 3 ½ 4 2/17 x 1 2/5 = 5 13/17 1 2/3 x 2 2/33 = 3 43/99 15 2/3 x 3 1/6 = 49 11/18 8/9 x 1 3/5 = 1 19/45 Copyright © Ed2NetLearning.Inc

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Great Job!! Thank You Copyright © Ed2NetLearning.Inc

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Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 2 Fractions.

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