Percentages As Fractions Worksheet - Math Quest 7 For The Australian Curriculum Page 2
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1
2number AnD AlgebrA
• reAl numbers
unDerstAnDIng
Imran saves 20% of his pocket money each week. What fraction does he save?
6
In one game, 35% of a football team is injured. What fraction of the team is injured?
7
Each week Jodie spends 45% of her wages at the supermarket. What fraction of Jodie’s wages
8
is spent at the supermarket?
What fraction of a class of students are boys if 68% are girls?
9
If the unemployment rate in Australia is 8%:
1 0
what fraction of the population is unemployed?
a
what fraction of the population is employed?
b
out of 100 people, how many would you expect to be unemployed?
c
Seventeen per cent of visitors to Australia in 2005 were from New Zealand.
1 1
a
What fraction of visitors to Australia was
from New Zealand?
What fraction of visitors to Australia were
b
not from New Zealand?
Out of 100 visitors to Australia, how
c
many would you expect to be from
New Zealand?
Less than 50% of the estimated 200 000
1 2
Australian invertebrate spe cies have been
described. What fraction is this?
What fraction remains if:
1 3
65% of the winnings have been spent?
a
refleCtIon
19% of the audience hated the movie?
b
Percentages are used
all stock was discounted by 15%?
c
everywhere in our daily lives.
93.5% of the school population supports the
d
Why is that so?
uniform policy?
percentages as decimals
7b
Percentages can be expressed as decimals.
■
To convert a percentage to a decimal, divide the percentage by 100 by moving the decimal
■
point two spaces to the left.
WorkeD exAmple 5
Write the following percentages as decimals.
81%
16.8%
a
b
thInk
WrIte
81
81% =
a
Per cent means ‘out of 100’, so write the percentage
a
1
100
as a fraction out of 100.
= 81 ó 100
2
To write as a decimal, move the position of the
= 0.81
decimal point 2 places to the left and place a zero in
the units column.
16 8
.
16.8% =
b
Write the percentage as a fraction out of 100.
b
1
100
= 16.8 ó 100
2
To write as a decimal, move the position of the
= 0.168
decimal point 2 places to the left and place a
zero in the units column.
224
maths quest 7 for the Australian Curriculum
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