Express each of the following ratios in its simplest form.
$2 h o u r s : 50 m i n$

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Solution

Step 1- Write the given ratio in form of a simple fraction.
$2 h o u r s : 50 m i n = \frac{2 h o u r s}{50 m i n} = \frac{2 \times 60 m i n}{50 m i n} = \frac{120}{50} [1 h o u r s = 60 m i n]$
Step 2- Dividing antecedent and consequent by their HCF 10
$\frac{120 \div 10}{50 \div 10} = \frac{12}{5} o r 12 : 5$
So, the simplest form of $2 h o u r s : 50 m i n$ is $12 : 5$

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