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EXAMPLE 1

2. 2. 1. 5. a. Write as an improper fraction. 1. =. 3. 3. 3. 5 5. =. 8 3. 5. 5. 8. 8. 1. 25. =. 1. , or. 24. 24. EXAMPLE 1. Multiplying with Mixed Numbers. Use the rule for multiplying fractions. Multiply. Write the answer in simplest form. 3.

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EXAMPLE 1

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  1. 2 2 1 5 a. Write as an improper fraction. 1 = 3 3 3 5 5 = 8 3 5 5 8 8 1 25 = 1 , or 24 24 EXAMPLE 1 Multiplying with Mixed Numbers Use the rule for multiplying fractions. Multiply. Write the answer in simplest form.

  2. 3 3 7 3 b. 1 3 1 Write and 3 as improper fractions. = 4 4 4 1 7 3 = 4 1 1 21 = , or 5 4 4 EXAMPLE 1 Multiplying with Mixed Numbers Use the rule for multiplying fractions. Multiply. Write the answer in simplest form.

  3. 2 4 4 24 32 20 2 4 Write and as improper fractions. = 2 4 9 5 9 3 5 5 4 8 20 24 = 9 5 1 3 2 2 2 4 4 8 9 3 5 3 = 3 1 , or = 10 2 Check: Round to 2 and to 5. Because 2 4 9 10 2 5 = 10, the product is reasonable. EXAMPLE 2 Simplifying Before Multiplying Use the rule for multiplying fractions. Divide out common factors. Rewrite. Multiply. Write the answer in simplest form.

  4. 7 1 21 EXAMPLE 3 Multiplying to Solve Problems OLYMPICS Olympic trampoliners get points deducted from their scores if they land outside a rectangle called the jump zone. The jump zone measures feet by feet. What is the area of the jump zone? 1 3 2

  5. 74 3 Write the formula for the area of a rectangle. Area =Length Width 1 1 7 3 = 1 21 2 1 3 Write and as improper fractions. 7 21 2 148 7 2 = 3 21 2 74 1 148 7 = 21 2 1 3 24 = ANSWER , or 2 The area of the jump zone is square feet. 24 3 EXAMPLE 3 Multiplying to Solve Problems SOLUTION Substitute for length and width. Use the rule for multiplying fractions. Divide out common factors. Multiply. Write the answer in simplest form.

  6. 17 1 = 18 2 2. 5 2 = 12 5 1 1 1 3. 3 7 2 = 3 2 4 9 1 3 4. 3 8 2 = 4 20 5 1 1 5.Crafts Jordan makes a banner 5 feet by 11 feet. What is the area of the banner? 3 4 for Examples 1,2 and 3 GUIDED PRACTICE Find the product. Write the answer in simplest form. 1 5 1. 2 3 6 60 ft2

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