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

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

Splash Screen

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.

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)

Concept

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

Example 1 Find Multiplicative Inverses B.

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

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

Concept

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

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

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

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

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

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

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

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

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

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

Example 4 Solve the Test Item