Question
Express the given ratio in its simplest form: 200 m : 5 km

Answer


$\begin{aligned} & 200 \mathrm{~m}: 5 \mathrm{~km}=200 \mathrm{~m}: 5000 \mathrm{~m} \ldots .(1 \mathrm{~km}=1000 \mathrm{~m}) \\ & =\frac{200}{5000}=\frac{200 \div 200}{5000 \div 200} \ldots(\mathrm{HCF} \text { of } 200,5000=200) \\ & =\frac{1}{25}=1: 25\end{aligned}$

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