A percentage is a number or ratio expressed as a fraction of 100. It is denoted using the percent sign “%“. Converting percentage to a fraction, you need to divide the given number by 100.
Example:Â
Express each of the following as a fraction in its simplest form.
i. 40%
ii. 65%
iii. 12¾ %
Solution
(i) 40% = \( \frac{40}{100} \\ = \frac{4}{10} \\ = \frac{2}{5} \)
(ii) 65% =Â \( \frac{65}{100} \\ = \frac{13}{20} \)
(iii) 12¾ % Â
Change the fraction to improper fractionÂ
\(\scriptsize 12 \frac{3}{4} \% = \normalsize \frac{51}{4}\scriptsize \%\) \( \frac{\frac{51}{4}}{100} \\ = \frac{51 \: \times \: 1}{4 \: \times \: 100} = \frac{51}{400}\)
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