Chapter Review 97

Chapter Review2Review Key Vocabulary

Review Examples and Exercises

underestimate, p. 47overestimate, p. 47compatible numbers, p. 47

reciprocals, p. 72terminating decimal, p. 84repeating decimal, p. 92

2.12.1

2.22.2

2.32.3

Fractions and Estimation (pp. 44–49)

Multiplying Fractions and Whole Numbers (pp. 50–55)

Multiplying Fractions (pp. 56–61)

3 1

— 5

× 4 7

— 8

≈ 3 × 5 = 15 Round 3 1 —

5 to 3 and round 4

7 —

8 to 5.

4 × 5

— 6

= 4 × 5

— 6

= 20

— 6

= 10

— 3

, or 3 1

— 3

Simplify.

1

— 4

× 3

— 5

= 1 × 3

— 4 × 5

= 3

— 20

Multiply the numerators and the denominators.

Estimate the product or quotient.

1. 4

— 5

× 2

— 3

2. 1

— 8

× 6

— 11

3. 6 4

— 15

÷ 2 7

— 8

4. 14 5

— 6

÷ 4 10

— 13

Multiply. Write the answer in simplest form.

5. 3 × 1

— 5

6. 8 × 2

— 3

7. 4

— 7

× 6 8. 5

— 6

× 9

Multiply. Write the answer in simplest form.

9. 1

— 8

× 5

— 7

10. 3

— 5

× 1

— 2

11. 2

— 9

× 3

— 4

12. 3

— 10

× 4

— 5

Multiply the numerator and whole number. Write the product over the denominator.

Vocabulary Help

98 Chapter 2 Multiplying and Dividing Fractions

2.42.4

2.52.5

2.62.6

Multiplying Mixed Numbers (pp. 62–67)

Dividing Fractions (pp. 70–77)

Dividing Mixed Numbers (pp. 78–83)

3

— 5

× 1 1

— 8

= 3

— 5

× 9

— 8

Write 1 1 —

8 as the improper fraction

9 —

8 .

= 3 × 9

— 5 × 8

= 27

— 40

Multiply the numerators and denominators.

3

— 7

÷ 5

— 8

= 3

— 7

× 8

— 5

Multiply by the reciprocal of 5 —

8 , which is

8 —

5 .

= 3 × 8

— 7 × 5

= 24

— 35

Multiply fractions and simplify.

3 3

— 4

÷ 1 1

— 2

= 15

— 4

÷ 3

— 2

Write each mixed number as an improper fraction.

= 15

— 4

× 2

— 3

Multiply by the reciprocal of 3 —

2 , which is

2 —

3 .

= 15 × 2

— 4 × 3

Multiply fractions. Divide out common factors.

= 5

— 2

, or 2 1

— 2

Simplify.

Multiply. Write the answer in simplest form.

13. 2 2

— 3

× 4

— 5

14. 2

— 7

× 4 4

— 9

15. 1 5

— 6

× 2 3

— 8

16. 2 3

— 10

× 5 1

— 3

Divide. Write the answer in simplest form.

17. 1

— 9

÷ 2

— 5

18. 3

— 4

÷ 5

— 6

19. 5 ÷ 1

— 3

20. 8

— 9

÷ 3

— 10

Divide. Write the answer in simplest form.

21. 1 2

— 5

÷ 4

— 7

22. 2 3

— 8

÷ 3

— 5

23. 4 1

— 8

÷ 2 1

— 4

24. 5 5

— 8

÷ 1 2

— 9

1

1

5

2

Chapter Review 99

2.72.7

2.82.8

Writing Decimals as Fractions (pp. 84–89)

Writing Fractions as Decimals (pp. 90–95)

Write 0.56 as a fraction in simplest form.

0.56 = 56

— 100

=

56 —

100 Divide out common factor of 4.

= 14

— 25

Simplify.

Write 1

— 6

as a decimal.

So, 1

— 6

= 1 ÷ 6 = 0.166. . ., or 0.1 — 6 .

Write the digits in the numerator.

Write the decimal as a fraction or mixed number in simplest form.

25. 0.6 26. 0.24 27. 0.08 28. 3.155

Write the fraction as a decimal. Is it terminating or repeating?

29. 3

— 5

30. 7

— 8

31. 2

— 9

32. 7

— 6

33. MINIATURE GOLF During a round of miniature golf, you made par

on 11

— 18

of the holes. Write this fraction as a decimal.

14

25

6 is in the hundredths’ place,so 100 is the denominator.

0.1666 ) ‾ 1.000 − 6 40 − 36 40 − 36 4

Place zeros to complete the division.

The remainder 4 keeps repeating.

Place the decimal point.