Topic 7 Percentages With Answer Key - Math Quest 7 Page 3
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40number and algebra
7.2 Percentages as fractions
per cent
• The term
means ‘per hundred’. The symbol for per cent is %. For example,
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7% means 7 out of 100.
SkillSHEET
• Whether a percentage is a whole number, a mixed number, a proper fraction, or a
Simplifying fractions
with a denominator
decimal, it can be expressed as a fraction.
of 100
• To convert a whole number percentage into a fraction, write it over 100 and simplify.
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• To convert a mixed number percentage into a fraction:
SkillSHEET
Converting a mixed
– change the mixed number into an improper fraction
number into an
– multiply the denominator by 100
improper fraction
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– simplify if possible.
SkillSHEET
• If the percentage is a proper fraction, multiply the denominator by 100 and simplify.
Changing fractions to
equivalent fractions
• To convert a percentage containing a decimal number into a fraction:
with a denominator
– place the decimal number over 100
of 100
– change the numerator to a whole number by multiplying both the numerator and the
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denominator by a required multiple of 10
– simplify if possible.
246
Maths Quest 7
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