Topic 7 Percentages With Answer Key - Math Quest 7 Page 4
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40NUMBER AND ALGEBRA
WORKED EXAMPLE 1
WORKED EXAMPLE 1
WORKED EXAMPLE 1
Write 47% as a fraction.
THINK
WRITE
Write the percentage and then change it to a fraction with a
47 % =
47
100
denominator of 100.
WORKED EXAMPLE 2
WORKED EXAMPLE 2
WORKED EXAMPLE 2
Write 20% as a fraction in simplest form.
THINK
WRITE
Write the percentage, change it to a fraction with a
1
1
20
20 % =
denominator of 100 and then cancel by dividing numerator
5
100
and denominator by the same number.
2
Write the answer and check that the fraction cannot be
=
1
5
simpli ed further.
WORKED EXAMPLE 3
WORKED EXAMPLE 3
WORKED EXAMPLE 3
Write the following percentages as fractions in simplest form.
1
1
%
15
%
a
b
4
3
THINK
WRITE
% =
1
1
a
1
Write the percentage and then multiply the
a
4 × 100
4
denominator by 100.
=
1
2
Simplify.
400
Write the percentage and then change the mixed
b
1
b
% =
1
46
15
%
3
3
number to an improper fraction.
Multiply the denominator by 100 and simplify
2
=
46
3 × 100
by cancelling. Check to make sure that the fraction
23
46
=
cannot be simpli ed further.
150
300
=
23
150
WORKED EXAMPLE 4
WORKED EXAMPLE 4
WORKED EXAMPLE 4
Write 36.4% as a fraction in simplest form.
THINK
WRITE
36.4% =
36.4
1
Write the percentage and change it to a fraction out of 100.
100
Change the numerator to a whole number by multiplying
36.4 × 10
2
=
100 × 10
it by an appropriate multiple of 10, multiply the denominator
91
364
by the same multiple of 10 and simplify the fraction.
=
250
1000
3
Write the answer.
=
91
250
Topic 7 • Percentages
247
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