Multiplying and Dividing Fractions Chapter 2 Multiplying and Dividing Fractions

Multiplying Fractions and Mixed Numbers 2.4 Multiplying Fractions and Mixed Numbers

Multiplying Fractions To multiply two fractions, multiply the numerators and multiply the denominators. If a, b, c, and d represent positive whole numbers we have Objective A 3

Examples Multiply. a. b. c. Objective A 4

Examples Multiply and simplify. a. b. Objective A 5

Multiplying Fractions and Mixed Numbers or Whole Numbers Multiplying Fractions and Mixed Numbers of Whole Numbers To multiply with mixed numbers or whole numbers, first write any mixed or whole numbers as fractions and then multiply as usual. Objective A 6

Examples Multiply. a. b. Objective A 7

Example Multiply. Objective A 8

Example Multiply. Check by estimating. Let’s check by estimating. Objective A rounds to 2, rounds to 1, and 2 · 1 = 2. The estimate is close to the exact value, so our answer is reasonable. 9

Example An estimate for the measure of an adult’s wrist is of the waist size. If Jorge has a 34-inch waist, estimate the size of his wrist. Objective A Jorge’s wrist is about inches. 10