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Over Lesson 3–3 A.A B.B C.C D.D 5-Minute Check 1

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Splash Screen

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Then/Now You have already divided positive fractions and multiplied rational numbers. (Lesson 3–3) Divide positive and negative fractions using multiplicative inverses. Divide algebraic fractions.

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Vocabulary multiplicative inverse reciprocal Two numbers whose product is 1. Another name for multiplicative inverse (you flip the fraction so the numerator and denominator switch places)

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Concept

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Example 1 Find Multiplicative Inverses Answer: The product is 1. A.

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Example 1 Find Multiplicative Inverses B.

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A.A B.B C.C D.D Example 1 A. B. C. D. A.

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A.A B.B C.C D.D Example 1 A. B. C. D.

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Concept

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Example 2 Divide by a Fraction or Whole Number Divide by the GCF, 5. A. Find. Write in simplest form. Answer: Simplify.

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Example 2 Divide by a Fraction or Whole Number Multiply. B. Find. Write in simplest form. Answer: Write 3 as.

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A.A B.B C.C D.D Example 2A A. B. C. D.

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A.A B.B C.C D.D Example 2B A. B. C. D.

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Example 3 Divide by a Mixed Number Rename the mixed numbers as improper fractions. Divide out common factors.

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Example 3 Divide by a Mixed Number Simplify. Answer:–3

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A.A B.B C.C D.D Example 3 A.–3 B.–2 C. D.

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Example 5 Divide Algebraic Fractions Divide out common factors. Answer: Simplify.

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A.A B.B C.C D.D Example 5 A. B. C. D.

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Example 4 Read the Test Item You need to find the number of gallons needed.

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Example 4 Solve the Test Item

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Example 4 Answer:So, the correct answer is B.

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A.A B.B C.C D.D Example 4 A.20 glasses B. C. D.30 glasses

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End of the Lesson

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