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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 • 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 • 1/6 * 7/9 • 5/7 * ½ • 3/4 * 3/10
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.
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?
Example 3: Multiplying Mixed Numbers • 5 ¼ * 4 2/3=
Your Turn!! • 12 * 3/8 • 2/3 * 6 • 2 ¾ * 3 1/6 • 4 4/5 * 1 1/9
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
Example 1: Dividing a fraction by a fraction • 5/9 / 2/3
Your Turn!! • Find the Quotient. Simply if possible. 5/6 / 7/9 2/3 / 4 9/2 / 3/2 1/6 / 3
Example 4: Dividing two mixed numbers • 8 ¾ / 2 5/8
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