Question

Find the reduced form of the ratio of the first quantity to second quantity.
$3$ years $4$ months, $5$ years $8$ months.

• A. 17:10
• B. 10:17
• C. 10:15
• D. 15:10

Answer 1

The correct option is B 10:17

firstly year change into months

$1$ year = $12$ months

$3$ years = 12x3 = $36$ months

$5$ years = 12x5 = $60$ months

Then reduced form are in ratio

$$\begin{array}{c}\frac{3years4months}{5years8months}\\ =\frac{\left(36+4\right)months}{\left(60+8\right)months}\\ =\frac{40}{68}\\ =\frac{10}{17}=10:17\end{array}$$