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5.3 Goal Multiplying Fractions and Mixed Numbers

5.3 Goal Multiplying Fractions and Mixed Numbers. The product of two or more fractions is equal to the product of the numerators over the product of the denominators. Ex. 1/5 * 3/8 = 3/40 a/b * c/d = a*c/b*d . Example 1: Multiplying Fractions. Find 1/3 * ½. Your Turn!!. 2/3 * 4/5

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5.3 Goal Multiplying Fractions and Mixed Numbers

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  1. 5.3 Goal Multiplying Fractions and Mixed Numbers • The product of two or more fractions is equal to the product of the numerators over the product of the denominators. • Ex. 1/5 * 3/8 = 3/40 • a/b * c/d = a*c/b*d

  2. Example 1: Multiplying Fractions • Find 1/3 * ½

  3. Your Turn!! • 2/3 * 4/5 • 1/6 * 7/9 • 5/7 * ½ • 3/4 * 3/10

  4. Dividing out Common Factors • When Multiply fractions, you can divide out common factors fro the product’s numerator and denominator so that the product will be in simplest form. • Multiplying Mixed Numbers • When Multiplying Mixed numbers, you should first rewrite them as improper fraction. Then use the rule for multiplying fractions.

  5. Example 2: Multiplying whole numbers and fractions • Election- The winner for class president go 3/5 of the vote. If 200 students voted, how many students voted for the winner?

  6. Example 3: Multiplying Mixed Numbers • 5 ¼ * 4 2/3=

  7. Your Turn!! • 12 * 3/8 • 2/3 * 6 • 2 ¾ * 3 1/6 • 4 4/5 * 1 1/9

  8. 5.4 Dividing Fractions and Mixed Numbers Using Reciprocals to divide To divide by any nonzero number, multiply by its reciprocal. 2/3 and 3/2 are reciprocals, because 2/3 *3/2=1

  9. Example 1: Dividing a fraction by a fraction • 5/9 / 2/3

  10. Example 2: Dividing a Fraction by a whole number • 4/5 / 2

  11. Your Turn!! • Find the Quotient. Simply if possible. 5/6 / 7/9 2/3 / 4 9/2 / 3/2 1/6 / 3

  12. Example 4: Dividing two mixed numbers • 8 ¾ / 2 5/8

  13. Your Turn!! • Find the Quotient. Then estimate to check the answer. • 3 / 6/11 • 12 / 2 2/5 • 5 2/3 / 3/5 • 4 ½ / 1 1/4

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