Changing Fractions to

Decimals

Fraction In words Using “ out of “ Using “ ÷ ”

16 one sixth 1 out of 6 1÷ 6

Remember

Using your calculator

3?

8

3 ÷ 8 = 0.375

Using your calculator

7?

11

7 ÷ 11 = 0.63636363

Round your answer to 2 dp

= 0.64

Try These 11. Use your calculator to change these fractions to decimals:

a.

b.

c.

d.

16

34

1

5

4

8

5

Page 108

0.8

0.1875

0.25

0.625

Try These 2Write these fractions as decimals and round as indicated.

a. (to 3 dp)

b. (to the nearest hundredth.)

c. (to the nearest thousandth.)

d. (to the nearest thousandth.)

e. (to the nearest tenth.)

f. (to 2 dp)

Page 110

13

5

15

2

3

2

11

3

9

4

7

6

0.385

0.13

0.667

0.273

0.4

0.86

Fractional Part of a Number

4

7Find of 210

4

7 x 210

4 ÷ 7 x 210 = 120

Fractional Part of a Number

2

7Find of 100

2

7 x 100

2 ÷ 7 x 100 = 28.5714285= 28.57

Round your answer to 2 dp

a. Find of 80

b. Find of 60

c.Find of 30

d.Find of 60

Page 111

4

3

5

2

8

3

8

1

Try These 3

60

24

11.25

7.5

Try These 4

a. Find of 200 and round your answer to 2 d.p.

b. Find of 290 and round your answer to 2 d.p.

c. Find of 97 and round your answer to the

nearest tenth.

d. Find of 50 and round your answer to the

nearest hundredth

13

3

11

2

12

1

13

6

Page 113

46.15

52.73

8.1

23.08

Page 114 Exercise 3.3Use your calculator to change these fractions to decimals. Round your answer when indicated

a. b.

c. d. to 2 dp

e. to 2 dp f.

g. to 3 dp h. to 3 dp

3

8

3

5

1

4

8

13

5

7

13

40

5

69

11

0.375 0.6

0.25 0.62

0.71 0.325

0.833 0.818

Page 114 Exercise 3.3

9

16of 100

1

690of

3

16of 500

2

3213of

4

7357of

1

13175of

2

6of 186

4

15600of

7

18of 170

2

9250of

Calculate the following and round your answer to 2 dp.

56.25

93.75

204.00

62.00

66.11

15.00

142.00

13.46

160.00

55.56