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Example 3
^ of a number is 60. What is the number?
Solution
We can use a bar diagram to help us.
1 part = 60
60
V. J 5 parts = 60 X 5 = 300
The number is 300.
Check My
Understanding
O Work out the following,
a) ^ of 20 b) ^ of 21 c) ^ of 20
d) iof24 e) ^ of 32 f) I of 45
O Find the value of the following,
a) ^ of 10 sweets b) I of 100 m c) i of $100
d) ^ of 24 m e) ^ of 1 h in minutes f) ^ of 1 h in minutes
g) ^ of 1 min in seconds h) "io of cm in millimetres i) y of 48 kg
O Work out the following,
a) I of 40 pencils b) I of 27 eggs c) I of 36 bananas
d) I of 45 sweets e) I of 48 apples f) I of $10
g) ^ of 20 plates h) ^ of $3 in cents 1) I of 2 weeks in days
j) I of 1 m in centimetres k) I of 2 m in centimetres I) ^ of 1 min In seconds
O There are 12 boys running in a race. Only half of them will receive prizes at the end of the race.
How many boys will receive prizes?
© One-third of the 36 balls in a bag are red. How many red balls are there?
© In a packet of mixed nuts, one-eighth of the nuts are almonds. If there are 48 nuts in a packet,
how many nuts in the packet are not almonds?
O Anna and Peter does the same job. In one week, Anna works for 12 hours and Peter works for 8 hours.
Together they are paid a total of $120 for the week's work. They are paid the same rate.
a) What fraction of the total number of hours does Anna work?
b) How much more pay does Anna receive than Peter?
© * Challenge! Mary has a tube of 12 sweets. She gives one-third of the sweets to a friend. She eats
one-quarter of the remaining sweets. How many sweets does Mary have left?
UNIT 8 I Fractions
