Write the ratio of the quantities in the simplest form
$12 c m t o 80 m m$

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Solution

Step-1: Convert $12 c m$ into $m m$
$12 c m$ $=$ $12 \times 10 =$ $120 m m$ ( As $1 c m = 10 m m$ )
Step-2: Write $120 m m$ to $80 m m$ in the form of a ratio
$120 m m$ to $80 m m$ $=$ $120 : 80$
Step-3: Simplify the ratio $120 : 80$
$120 : 80$ $=$ $\frac{120 \div 40}{80 \div 40}$ ( To simplify $120 : 80$ divide it by HCF of $120$ and $80$ The HCF of $120$ and $80$ is $40$ )
$120 : 80$ $=$ $\frac{3}{2}$ $=$ $3 : 2$
Hence, the ratio of quantities $12 c m t o 80 m m$ is $3 : 2$

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