Express each of the following ratios in its simplest form.
$2 y e a r s : 10 m o n t h s$

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Solution

Step 1- Write the given ratio in the form of a fraction
$2 y e a r s : 10 m o n t h s = \frac{2 y e a r s}{10 m o n t h s} = \frac{2 \times 12 m o n t h s}{10 m o n t h s} = \frac{24}{10} [1 y e a r s = 12 m o n t h s]$
Step 2- Dividing antecedent and consequent by their HCF 2
$\frac{24 \div 2}{10 \div 2} = \frac{12}{5} o r 12 : 5$
So, the simplest form of $2 y e a r s : 10 m o n t h s$ is $12 : 5$

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