Chapter 7 Decimals Worksheet - New Century Maths Page 28
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38Converting common fractions to decimals
We often use fractions in our everyday conversations:
Are we half-way there yet?
Nearly two-thirds of the crowd barracked for NSW.
It is useful to recognise fractions in their decimal form.
Example 18
Write each of these as a decimal:
3
5
a
b
-- -
-- -
5
8
Solution
3
means 3 ÷ 5
5
means 5 ÷ 8
a
b
-- -
-- -
5
8
0.6
0.625
2 4
5
3.0
8
5.000
3
= 0.6
5
= 0.625
-- -
-- -
5
8
Exercise 7-13
1 Copy and complete this table. Use a calculator if you need to.
Example 18
Equivalent common
Common fraction
Meaning as division
Decimal
fraction
3
6
3 ÷ 5
a
0.6
-- -
----- -
5
10
1
5
1 ÷ 2
b
-- -
----- -
2
10
1
c
0.25
-- -
4
4
d
-- -
5
2
e
-- -
5
3 ÷ 4
f
0.75
1 ÷ 5
g
1 ÷ 8
h
2 Use your completed table from Question 1 to help you find decimals equal to the
following common fractions:
2
3
3
2
a
b
c
d
-- -
-- -
-- -
-- -
5
8
4
2
2
6
3
2
e
f
g
h
-- -
-- -
-- -
-- -
4
8
5
8
5
7
4
5
i
j
k
l
-- -
-- -
-- -
-- -
8
8
8
5
3 Explain why some of the fractions in Question 2 have the same decimal value.
225
DECIMALS
CHAPTER 7
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