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NSW Y8 Maths

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NSW Y8 Maths Rates and Ratios Simplifying Ratios

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Simplifying Ratios Theory

\begin{multicols}{2} \textbf{Example 1}\\ Simplify the ratio \(70 \text{~mm}: 2.1 \text{~m}\).\\ \textbf{Example 1 solution}\\ Change to the same units.\\ \(\begin{aligned} 2.1 \text{~m} & =2.1 \times 1000 \text{~mm} \\ & =210 \text{~mm} . \end{aligned}\)\\ \(\begin{aligned} \therefore 70 \text{~mm} &: 210 \text{~mm}\\ 7 &: 21 \\ 1 &: 3 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Simplify the ratio \(18: 42: 48\) \\ \textbf{Example 2 solution}\\ \(\begin{aligned} 18:42: 48 &=3 \times 6: 7 \times 6: 8 \times 6 \\ &=3: 7: 8 \end{aligned}\) \end{multicols}

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  • Simplifying Ratios - Video - Simplifying Ratios 1

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