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Multiplying Fractions and Mixed Numbers

1 9. 3 4. Find • . Estimate. 1 9. 3 4. 3 4. 0 • , or 0. •. Multiply the numerators. Multiply the denominators. 1 9. 3 4. 1 • 3 9 • 4. •. =. 3 36. Find the two products. =. 1 12. Simplify. =. 1 12.

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Multiplying Fractions and Mixed Numbers

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  1. 1 9 3 4 Find • . Estimate 1 9 3 4 3 4 0 • , or 0 • Multiply the numerators. Multiply the denominators. 1 9 3 4 1 • 3 9 • 4 • = 3 36 Find the two products. = 1 12 Simplify. = 1 12 Check for Reasonableness The answer, , is close to the estimate, 0. The answer is reasonable. COURSE 2 LESSON 4-4 Multiplying Fractions and Mixed Numbers 4-4

  2. Kate’s distance is five-sixths of Ebony’s distance Let k represent Kate’s distance. k = • Words 5 6 3 5 Equation 5 6 3 5 k = • 1 1 Divide a numerator and a denominator by their GCF, 3. 5 6 3 5 k = • Divide a numerator and a denominator by their GCF, 5. 2 1 COURSE 2 LESSON 4-4 Multiplying Fractions and Mixed Numbers 3 5 5 6 Ebony swam mi. Kate swam of Ebony’s distance. How far did Kate swim? 4-4

  3. 1 • 1 2 • 1 Multiply the numerators. Multiply the denominators. k = 1 2 k = Simplify. 1 2 Kate swam mi. COURSE 2 LESSON 4-4 Multiplying Fractions and Mixed Numbers (continued) 4-4

  4. 2 3 What is of 12? 2 3 2 3 12 1 12 1 Write 12 as . • 12 = • 4 2 3 12 1 Simplify before multiplying. = • 1 8 1 Multiply the numerators. Multiply the denominators. = Simplify. = 8 COURSE 2 LESSON 4-4 Multiplying Fractions and Mixed Numbers 4-4

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