Year 8 Interactive Maths - Second Edition

Percentages

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