Express the following ratio in the simplest form: $3 m : 75 c m$ .

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Solution

Step 1: Convert $m t o c m$
$3 m = 3 \times 100 c m = 300 c m$ $(1 m = 100 c m)$
Step 2: Convert the ratio into a fraction
$300 c m : 75 c m = \frac{300}{75}$
Step 3: Divide numerator and denominator by $75$
The Highest Common Factor Of the two terms are $75$ .
$\frac{300 \div 75}{75 \div 75} = \frac{4}{1} = 4 : 1$
Hence, the simplest form of $3 m : 75 c m$ is $4 : 1$ .

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