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Dividing Fractions and Mixed Numbers

2 3. 3 4. Find 4 ÷ 1. 2 3. 3 4. 14 3. 7 4. Write the mixed numbers as improper fractions. 4. 1. = ÷. ÷. 14 3. 4 7. 7 4. 4 7. Multiply by the reciprocal of , which is. = •. 2. 14 • 4 3 • 7. Divide 14 and 7 by their GCF, which is 7. =. 1.

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Dividing Fractions and Mixed Numbers

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  1. 2 3 3 4 Find 4 ÷ 1 . 2 3 3 4 14 3 7 4 Write the mixed numbers as improper fractions. 4 1 = ÷ ÷ 14 3 4 7 7 4 4 7 Multiply by the reciprocal of , which is . = • 2 14 • 4 3 • 7 Divide 14 and 7 by their GCF, which is 7. = 1 8 3 Multiply. = 2 3 = 2 Write as a mixed number. COURSE 2 LESSON 4-5 Dividing Fractions and Mixed Numbers 4-5

  2. 1 4 1 2 1 2 1 4 To find how many 1 -ft long strips are in 12 ft, divide 12 by 1 . 1 2 1 4 Estimate 12 1 12 ÷ 1, or 12 ÷ 1 2 1 4 25 2 5 4 Write the mixed numbers as improper fractions. 12 1 ÷ = ÷ 25 2 4 5 5 4 4 5 Multiply the reciprocal of , which is . = • 5 2 25 • 4 2 • 5 Divide 25 and 5 by their GCF, 5. Divide 4 and 2 by their GCF, 2. = 1 1 COURSE 2 LESSON 4-5 Dividing Fractions and Mixed Numbers 1 2 You have a piece of yarn that is 12 ft long. You need to cut it into strips that are 1 ft long. How many strips will you have? 1 4 4-5

  3. 10 1 Simplify. = = 10 1 4 1 2 There are ten 1 -ft strips of yarn in 12 ft. COURSE 2 LESSON 4-5 Dividing Fractions and Mixed Numbers (continued) Check for Reasonableness The answer, 10, is close to the estimate, 12. The answer is reasonable. 4-5

  4. 7 9 1 3 7 21 COURSE 2 LESSON 4-5 Dividing Fractions and Mixed Numbers Find each quotient. 1. ÷ 2. ÷ 3. 1 ÷ 2 4. 3 ÷ 1 8 3 4 2 3 3 8 1 6 2 5 1 5 5 6 2 7 55 72 4-5

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