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Percentage of a Quantity Theory
![\begin{multicols}{2} \textbf{Example 1}\\[3pt] Find \(7 \dfrac{1}{2} \% \text { of } 3 \text { hours }\)\\ \textbf{Example 1 solution}\\[3pt] \(\begin{aligned} 7 \frac{1}{2} \% \text { of } 3 \text { hours } & =7 \frac{1}{2} \% \times 180 \text { minutes } \\ & =\frac{15}{2} \div 100 \times 180 \\ & =\frac{15}{2} \times \frac{1}{100} \times 180 \\ & =15 \times \frac{1}{100} \times \frac{180}{2} \\ & =15 \times \frac{90}{100} \\ & =\frac{15 \times 9}{10} \\ & =13.5 \text { minutes } \end{aligned}\) \columnbreak \textbf{Example 2}\\[3pt] Find \(3 \dfrac{1}{3} \% \text { of } \$ 300\)\\ \textbf{Example 2 solution}\\[3pt] \(\begin{aligned} 3 \frac{1}{3} \% \text { of } 300 & =\frac{10}{3} \div 100 \times 300 \\ & =\frac{10}{3} \times \frac{1}{100} \times 300 \\ & =\frac{10}{3} \times \frac{300}{100} \\ & =\frac{10}{3} \times 3 \\ & =\$ 10 \end{aligned}\) \end{multicols}](/media/fk5g4uup/7933.png)
NSW Y8 Maths Fractions and Percentages Percentage of a Quantity
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