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NSW Y8 Maths

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NSW Y8 Maths Fractions and Percentages Non-Calculator Percentages

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Non-Calculator Percentages Theory

\begin{multicols}{2} \textbf{Example 1}\\ What is \(30 \%\) of 2 hours and 30 minutes?\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 2\text { hours } 30 \text { minutes } & =2 \times 60+30 \\ & =120+30 \\ & =150 \text { minutes } \end{aligned}\)\\ \(\begin{aligned} 30 \% \text { of } 2 \text { hours } 30 \text { minutes } & =\frac{30}{100} \times 150\\ & =3 \times 15 \\ & =45 \text { minutes. } \end{aligned}\) \columnbreak \textbf{Example 2}\\ What is \(25 \%\) of \(48 \text{~g}\)?\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 25 \% \text { of } 48 \text{~g} & =\frac{25}{100} \times 48 \\ & =\frac{1}{4} \times 48 \\ & =1 \times \frac{48}{4} \\ & =12 \text{~g} . \end{aligned}\) \end{multicols}

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