Transcript Slide 1
Multiplying Fractions & Mixed Numbers Copyright © Ed2NetLearning.Inc 1 Objective • Multiplying mixed numbers Copyright © Ed2NetLearning.Inc 2 Prerequisite Skill • a. b. c. d. e. Convert the mixed fraction into improper fraction 3 1/6 2 2/3 2½ 9½ 2 2/5 Copyright © Ed2NetLearning.Inc 3 Multiply Mixed Numbers • To multiply mixed numbers, write the mixed numbers as improper fractions and then multiply as with fractions. Copyright © Ed2NetLearning.Inc 4 Multiply a Fraction and a Mixed Number Example. 1 • Find ¼ x 3 ¾ • ¼ x 4 ¾ = ¼ x 19/4 Write 4 ¾ as 19/4 = 1 x 19 4x4 = 19 = 1 3/16 Simplify 16 Copyright © Ed2NetLearning.Inc 5 Another Example • Find 1/3 x 6 4/7 • 1/3 x 6 4/7 = 1/3 x 46/7 = 1 x 46 3x7 = 46 = 2 4/21 21 Copyright © Ed2NetLearning.Inc 6 Now Your Turn • 1. 2. 3. 4. 5. Multiply. Write in simplest form. ½ x 2 1/3 2/3 x 1 1/3 3/5 x 2 ¼ 4/11 x 2 ¾ ¾x3¼ Copyright © Ed2NetLearning.Inc 7 MULTIPLYING MIXED NUMBERS • To multiply mixed numbers, convert the mixed numbers into improper fractions and multiply the numerator and denominator. Copyright © Ed2NetLearning.Inc 8 Example – 1 • Find 3 ½ x 1 1/5 • 3 ½ x 1 1/5 = = 7 x 6 Write mixed numbers as 2 5 improper fractions 7 x 6 3 Multiply the numerator 2 x 5 and denominator 1 = 21 5 = 41 5 Copyright © Ed2NetLearning.Inc 9 Example – 2 • Find 2 ½ x 2 ¾ 2½x2¾ = = = 5 x 11 2 4 5 x 11 2x4 55 = 6 7 8 8 Copyright © Ed2NetLearning.Inc 10 Now Your Turn Simplify 1. 2 ¼ x 1 1/9 2. 2 8/13 x 3 ¼ 3. 3 2/11 x 5 2/15 4. 2 3/7 x 4 2/3 5. 1 4/5 x 1 ½ Copyright © Ed2NetLearning.Inc 11 Practice Multiply: 1. 9/10 x 7 2/3 2. 10 2/3 x 8 ¼ 3. 2/3 x 2 ½ 4. 1 2/5 x 1 ¾ 5. 3/8 x 3 ¾ 6. 3/5 x 1 ½ 7. 4 4/5 x 2 7/10 Copyright © Ed2NetLearning.Inc 12 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 13 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. Copyright © Ed2NetLearning.Inc 14 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 15 Assessment Simplify 1. 4 1/7 x 2 ¼ 2. 3 ½ x 1 1/7 3. 3 ¼ x 4 1/6 4. ¼ x 6 ¼ 5. 1 3/5 x 2/3 6. 3 ¾ x 2/5 7. 4 2/17 x 1 2/5 8. 1 2/3 x 2 2/33 9. 15 2/3 x 3 1/6 10. 8/9 x 1 3/5 Copyright © Ed2NetLearning.Inc 16 Great Job!! Copyright © Ed2NetLearning.Inc 17