Question

Reduce the given ratio to its simplest form.
$2$ hours : $1$ hour $20$ minutes

• A. 3:2
• B. 2:3
• C. 4:9
• D. 9:4

Answer 1

The correct option is A 3:2

$2$ hours : $1$ hour $20$ minutes

Converting all the quantities to same unit, we have

$2$ hours $=120$ minutes
$1$ hour $20$ minutes
$=60+20=80$ minutes

$120$ minutes $:80$ minutes
$=\frac{120}{80}=\frac{4\times 30}{4\times 20}=\frac{10\times 3}{10\times 2}=\frac{3}{2}=3:2$

Therefore, simplest form of $2$ hours $:$ $1$ hour $20$ minutes is $3:2$.