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Middle Years

2.04 Fractions of a quantity

Worksheet
Fractions of a quantity
1

Evaluate:

a
\dfrac{1}{7} \times 70
b
\dfrac{2}{5} \times 35
c
\dfrac{7}{9} \times 9
d
\dfrac{10}{9} \times 36
e
3 \times \dfrac{1}{4}
f
5 \times \dfrac{8}{9}
g
5 \times \dfrac{9}{8}
h
\dfrac{8}{10} \times 30
i
\dfrac{1}{2} \times 4
j
\dfrac{4}{6} \times 12
k
25 \times \dfrac{6}{5}
l
102 \times \dfrac{2}{3}
2

Evaluate:

a
\dfrac{1}{4} of 28
b
\dfrac{4}{5} of 40
c
\dfrac{3}{4} of 4
d
\dfrac{9}{6} of 18
e
\dfrac{1}{9} of 4
f
\dfrac{4}{5} of 3
g
\dfrac{5}{8} of 64
h
\dfrac{9}{20} of 100
i
\dfrac{1}{10} of 900
j
\dfrac{2}{3} of 84
k
\dfrac{4}{7} of 140
l
\dfrac{9}{11} of 220
3
Find the following quantities in the given units:
a

\dfrac{1}{5} of \$1 in cents.

b

\dfrac{1}{5} of 6 minutes in seconds.

c

\dfrac{5}{7} of 5 weeks in days.

d

\dfrac{9}{10} of 6 \text{ L} in millilitres.

e

\dfrac{7}{500} of 3 \text{ kg} in grams.

f

\dfrac{6}{5} of 3 \text{ cm} in millimetres.

g

\dfrac{2}{10} of 5 \text{ m} in centimetres.

h

\dfrac{1}{4} of 36 \text{ g} in milligrams.

i

\dfrac{2}{15} of 3 hours in minutes.

j

\dfrac{3}{5} of 12 \text{ km} in metres.

k

\dfrac{1}{6} of \$69 in cents.

l

\dfrac{7}{8} of 1200 \text{ mL} in liters.

Applications
4

Xavier received \$10 pocket money, and spent \dfrac{4}{10} of it on mobile phone applications. How much money did he spend?

5

Charlie won \$40\,000 in the lottery. He gave \dfrac{2}{5} of his winnings to his sister. How much money did Charlie give his sister?

6

Sinead read \dfrac{3}{5} of a 450 page book. How many pages has she read?

7

In a class of 27 students, \dfrac{4}{9} are boys. How many boys are in the class?

8

Han is a song writer. \dfrac{7}{9} of Han's songs are jazz. If Han has written 54 songs, how many of his songs are jazz?

9

In a survey, \dfrac{2}{11} of people said Saturday was their favourite day. If 66 people were surveyed, how many people picked Saturday?

10

A Year 6 class planned to raise \$400 for a local charity by Christmas. If they’ve already raised \dfrac{2}{10} of the money, how much have they raised?

11

The Fireflies scored 77 points in their netball game. If the goal shooter scored \dfrac{2}{11} of the points, how many points did she score?

12

A biased coin lands on tails \dfrac{4}{8} times. If the coin was flipped 40 times, how many times would it land on tails?

13

In the morning, a dam contains 1710 \text{ L} of water. Throughout the day, \dfrac{1}{9} of the water is lost through evaporation and cattle drinking from it.

a

How many litres of water is lost throughout the day?

b

At the end of the day, how many litres of water remain in the dam?

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