Find the ratio of the following:
$36$ minutes to $2$ hours

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Solution

First, we have to Write the given ratio in the form of a fraction.
$36$ minutes to $2$ hours = $\frac{36 m i n u t e s}{2 h o u r s}$
Which is equal to $\frac{36 m i n u t e s}{2 h o u r s} = \frac{36 m i n u t e s}{2 \times 60 m i n u t e s} = \frac{36}{120}$ [ $1 h o u r = 60 m i n u t e s$ ]
Then by Dividing antecedent and consequent by their HCF $12$
$\frac{36 \div 12}{120 \div 12} = \frac{3}{10} o r 3 : 10$
So the simplest form is $3 : 10$

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