year 8 maths

4A
Equivalent fractions
201
Example 2
9 Write the following fractions in simplest form.
a
3
9
b
4
8
c
10
12
d
15
18
e
11
44
f
12
20
g
16
18
h
25
35
i
15
9
j
22
20
k
120
100
10 Using your calculator, express the following fractions in simplest form.
a
24
96
b
36
108
c
165
195
l
d
64
48
196
476
e
565
452
f
637
273
g
225
165
h
742
224
PROBLEM-SOLVING AND REASONING
11, 14 11, 12, 14, 15
11–16
11 Three of the following eight fractions are not written in simplest form. Write down these three
fractions and simplify them.
17
31
14
42
5
11
51
68
23
93
15
95
12 Group the following 12 fractions into six pairs of equivalent fractions.
5
11
3
5
7
21
8
22
2
7
20
50
6
21
1
15
9
15
13
31
13 A 24 -hour swim-a-thon is organised to raise funds for a local charity. The goal is to swim 1500
laps during the 24 -hour event.
After 18 hours a total of 1000 laps have been swum.
a On the basis of time, what fraction, in simplest form, of the swim-a-thon has been completed?
b On the basis of laps, what fraction, in simplest form, of the swim-a-thon has been completed?
c A re the swimmers on target to achieve their goal? Explain your answer using equivalent
fractions.
15
33
1
3
16
44
6
15
14 a A particular fraction has a prime number in the numerator and a different prime number in the
denominator. Using some examples, justify whether or not this fraction can be simplified.
b A fraction has a composite number in the numerator and a different composite number in the
denominator. Using some examples, justify whether or not this fraction can be simplified.
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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