# Dividing Fractions and Mixed Numbers

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

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

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

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