Question
Express the following ratios in its simplest form: $85 : 391$
✓
Answer
To express this ratio in the simplest form we will have to find the $H.C.F$ of $85$ and $391,$
It is $17.$ Dividing each term of the ratio by the $H.C.F$ of its terms i.e. $17,$
we get $\frac{85}{391}=\frac{85\div17}{391\div17}=\frac{\frac{85}{17}}{\frac{391}{17}}=\frac{5}{23}$
Hence, the simplest form of the ratio $85 : 391$ is $5 : 23.$
It is $17.$ Dividing each term of the ratio by the $H.C.F$ of its terms i.e. $17,$
we get $\frac{85}{391}=\frac{85\div17}{391\div17}=\frac{\frac{85}{17}}{\frac{391}{17}}=\frac{5}{23}$
Hence, the simplest form of the ratio $85 : 391$ is $5 : 23.$
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