Question

Reduce each of the following ratios to their lowest terms :
1 hour 20 min : 2 hours

Answer 1

$1$ hour $20$ min: $2$ hours
We know that,
$1$ hour $=60$ minutes
Hence, we can convert hour into minutes as:
$1$ hour $=1\times 60$ minutes $=60$ minutes
$2$ hours $=2\times 60$ minutes $=120$ minutes
So, the above expression can be written as follows:
$\frac{(60+20)\text{minutes}}{120\text{minutes}}=\frac{80}{120}$
On further calculation, we get
$=\frac{2}{3}$
$=2:3$
$\therefore$ The ratio of $1$ hour $20$ minutes: $2$ hours will be $2:3$