Over Lesson 3–3

A. A

B. B

C. C

D. D

You have already divided positive fractions and multiplied rational numbers. (Lesson 3–3)

• Divide positive and negative fractions using multiplicative inverses.

• Divide algebraic fractions.

• 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)

Find Multiplicative Inverses

Answer:

The product is 1.

A.

Find Multiplicative Inverses

B.

A. A

B. B

C. C

D. D

A.

B.

C.

D.

A.

A. A

B. B

C. C

D. D

A.

B.

C.

D.

Divide by a Fraction or Whole Number

Divide by the GCF, 5.

A. Find . Write in simplest form.

Answer:

Simplify.

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

A.

B.

C.

D.

A. A

B. B

C. C

D. D

A.

B.

C.

D.

Divide by a Mixed Number

Rename the mixed numbers as improper fractions.

Divide out common factors.

Divide by a Mixed Number

Simplify.

Answer: –3

A. A

B. B

C. C

D. D

A. –3

B. –2

C.

D.

Divide Algebraic Fractions

Divide out common factors.

Answer:

Simplify.

A. A

B. B

C. C

D. D

A.

B.

C.

D.

Read the Test Item

You need to find the number of gallons needed.

Solve the Test Item

Answer: So, the correct answer is B.

A. A

B. B

C. C

D. D

A. 20 glasses

B.

C.

D. 30 glasses