Multiplying Fractions & Mixed Numbers Copyright © Ed2NetLearning.Inc

Copyright © Ed2NetLearning.Inc Objective Multiplying mixed numbers Copyright © Ed2NetLearning.Inc

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

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

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

Copyright © Ed2NetLearning.Inc 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

Copyright © Ed2NetLearning.Inc 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

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

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

Copyright © Ed2NetLearning.Inc Example – 2 Find 2 ½ x 2 ¾ 2 ½ x 2 ¾ = 5 x 11 2 4 = 5 x 11 2 x 4 = 55 = 6 7 8 8 Copyright © Ed2NetLearning.Inc

Copyright © Ed2NetLearning.Inc 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

Copyright © Ed2NetLearning.Inc 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

Copyright © Ed2NetLearning.Inc 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

Copyright © Ed2NetLearning.Inc 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

Copyright © Ed2NetLearning.Inc 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

Copyright © Ed2NetLearning.Inc 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

Copyright © Ed2NetLearning.Inc Great Job!! Thank You Copyright © Ed2NetLearning.Inc