4. Fractions Multiplying

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8. EXAMPLE 1 Multiplying Fractions Use rule for multiplying fractions. Evaluate numerator and denominator. Use rule for multiplying fractions. Divide out common factors. Multiply. a. – 2 5 – ( ) 2 3 = – 2 (– 2) 5 3 = 4 15 b. 3 10 – 5 6 = – 3 5 10 6 = – 3 5 10 6 2 – 1 1 2 1 4 – =

9. GUIDED PRACTICE for Example 1 Find the product. Simplify if possible. Use rule for multiplying fractions. Divide out common factors. Multiply. 1. 5 12 – 9 10 = – 5 9 12 10 = – 5 9 12 10 2 – 1 3 4 3 8 – =

10. SOLUTION Write formula for area of a rectangle. Substitute values. Write as improper fractions. Use rule for multiplying fractions. EXAMPLE 2 Multiplying Mixed Numbers Postcards Multiply. = 5 1 2 3 3 4 = 11 2 15 4 = 11 15 2 4 A postcard is inches long and 3 inches wide. Find the area of the postcard. 5 1 2 3 4 = 165 8 , or 20 5 8 Area length width =

11. EXAMPLE 2 Multiplying Mixed Numbers The area of the postcard is square inches. ANSWER 20 5 8

12. GUIDED PRACTICE for Example 2 and 3 Find the product. Simplify if possible. Write as improper fractions. Use rule for multiplying fractions. Multiply. 5. 1 2 5 3 1 2 = 7 5 7 2 = 7 7 5 2 = 49 10 , or 4 9 10

13. GUIDED PRACTICE for Example 2 and 3 Find the product. Simplify if possible. Write as improper fractions. Use rule for multiplying fractions. Multiply. (–1 ) 6. 5 1 2 5 6 = 11 2 – 11 6 = 11 – 11 2 6 = – 121 12 , or – 10 1 12

14. GUIDED PRACTICE for Example 2 and 3 Find the product. Simplify if possible. Write as improper fractions. Use rule for multiplying fractions. Multiply. 8. (– ) 2 1 3 3 4 – = – 7 – 3 3 4 = 7 4 , or 1 3 4 = – 3 4 – 7 3 ( ) – 1 1