Express the following ratio into the simplest form: $2 h r s : 55$ $m i n u t e s$

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Solution

Step 1: Convert $h r s$ into $m i n u t e s$
$m i n u t e s$ is the smaller unit than $h r s$ .
$2 h r s$ = $2 \times 60 = 120 m i n u t e s$ $(1 h r = 60 m i n u t e s)$
Step 2: Convert the ratio in a fraction
$120 m i n u t e s : 55 m i n u t e s = \frac{120}{55}$
Step 3: Divide the numerator and the denominator by $5$
The Highest Common Factor of $120$ and $55$ is $5$ .
$\frac{120 \div 5}{55 \div 5} = \frac{24}{11} = 24 : 11$
Hence, the simplest form of $2 h r s : 55 m i n u t e s$ is $24 : 11$ .

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