Topic 7 Percentages With Answer Key - Math Quest 7 Page 9

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number and algebra
7.4 Fractions and decimals to percentages
Changing fractions to percentages
Interactivity
100
Converting
• To change a fraction to a percentage, multiply by
.
1
percentages,
• Simplify if possible.
decimals, fractions
• Add the percentage (%) sign.
and ratios
int-2740
WOrKed eXamPle 6
WOrKed eXamPle 6
WOrKed eXamPle 6
Change each of the following fractions to a percentage, giving the answer as a
mixed number where appropriate.
1
5
1
Digital docs
a
b
c
10
8
7
SkillSHEET
Multiplying
THInK
WrITe
fractions by 100
doc-6473
a
1
Write the fraction.
10
100
1
1
SkillSHEET
=
×
%
a
Multiplying
10
1
1
10
decimals by 100
doc-6474
100
Multiply by
and include the
2
1
% sign.
Cancel or simplify as appropriate.
3
Multiply the numerators and then
4
10
=
%
1
multiply the denominators.
= 10%
Simplify.
5
b
1
Write the fraction.
25
100
5
5
=
×
%
b
8
1
2
8
100
Multiply by
and include the
2
1
% sign.
Cancel or simplify as appropriate.
3
Multiply the numerators and then
4
=
125
%
2
multiply the denominators.
Simplify by writing as a mixed
5
= 62
1
%
2
number.
1
Write the fraction.
c
1
c
7
100
=
1
×
100
%
Multiply by
and include the
2
7
1
1
% sign.
Multiply the numerators and then
3
=
100
%
7
multiply the denominators.
Divide the numerator by the
4
rem 2
1 4
denominator.
3
7q10
0
Simplify by writing as a mixed
5
= 14
2
%
7
number.
252
Maths Quest 7

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