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Copyright © Ed2NetLearning.Inc 1 Multiplying Fractions & Mixed Numbers

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Copyright © Ed2NetLearning.Inc 2 Objective Multiplying mixed numbers

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

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Copyright © Ed2NetLearning.Inc 4 Multiply Mixed Numbers To multiply mixed numbers, write the mixed numbers as improper fractions and then multiply as with fractions.

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Copyright © Ed2NetLearning.Inc 5 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

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Copyright © Ed2NetLearning.Inc 6 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

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Copyright © Ed2NetLearning.Inc 7 Now Your Turn Multiply. Write in simplest form. 1.½ x 2 1/3=7/6=1 1/6 2.2/3 x 1 1/3=8/9 3.3/5 x 2 ¼ =27/20 =1 7/20 4.4/11 x 2 ¾ =4/3=1 1/3 5.¾ x 3 ¼ =39/16 = 2 5/16

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Copyright © Ed2NetLearning.Inc 8 MULTIPLYING MIXED NUMBERS To multiply mixed numbers, convert the mixed numbers into improper fractions and multiply the numerator and denominator.

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Copyright © Ed2NetLearning.Inc 9 Example – 1 Find 3 ½ x 1 1/5 3 ½ x 1 1/5 =7 x =7 x 6 2 x 5 =21 = Write mixed numbers as improper fractions Multiply the numerator and denominator 3 1

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Copyright © Ed2NetLearning.Inc 10 Example – 2 Find 2 ½ x 2 ¾ 2 ½ x 2 ¾ =5 x =5 x 11 2 x 4 =55 =

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Copyright © Ed2NetLearning.Inc 11 Now Your Turn Simplify 1.2 ¼ x 1 1/9=2 ½ 2.2 8/13 x 3 ¼=8 ½ 3.3 2/11 x 5 2/15=16 1/ /7 x 4 2/3=11 1/ /5 x 1 ½ =20 7/10

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Copyright © Ed2NetLearning.Inc 12 Practice Multiply: 1.9/10 x 7 2/3=6 9/ /3 x 8 ¼ =88 3.2/3 x 2 ½ =5/3=1 2/ /5 x 1 ¾ =49/20=2 9/20 5.3/8 x 3 ¾ =45/32=1 13/32 6.3/5 x 1 ½ =9/ /5 x 2 7/10=12 24/25

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Copyright © Ed2NetLearning.Inc 13 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

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Copyright © Ed2NetLearning.Inc 14 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 m 2

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Copyright © Ed2NetLearning.Inc 15 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.

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Copyright © Ed2NetLearning.Inc 16 Assessment Simplify 1.4 1/7 x 2 ¼=9 9/ ½ x 1 1/7=4 3.3 ¼ x 4 1/6=13 13/24 4.¼ x 6 ¼ =1 9/ /5 x 2/3=1 1/ ¾ x 2/5=3 ½ 7.4 2/17 x 1 2/5 =5 13/ /3 x 2 2/33=3 43/ /3 x 3 1/6 =49 11/ /9 x 1 3/5 =1 19/45

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Copyright © Ed2NetLearning.Inc 17 Great Job!!

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