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Year 8 Interactive Maths - Second Edition


Percentages

A percentage is a fraction that is written out of 100.

For example, 15 per cent means 15 parts out of 100.  The term per cent means per one hundred.  The symbol used for per cent is %.

Note:


From the preceding discussion, we notice that:

A percentage is the numerator of a fraction with a denominator of 100.


Converting a Percentage to a Fraction

To convert a percentage to a fraction, write it as a fraction with a denominator of 100 and then simplify the fraction if possible.


Example 1

Express 65% as a fraction.

Solution:


Mixed Number Percentage

To convert a mixed number percentage to a fraction, change the mixed number to an improper fraction, write the percentage as a fraction with a denominator of 100 and simplify the fraction if possible.


Example 2

Solution:


Key Terms

percentage, per cent, mixed number percentage


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