Question

Write the ratio of the first quantity to the second quantity in its simplest form
(i) 3 min. 30 sec., 2 min. 30 sec.
(ii) 8 years 4 months, 2 years 6 months

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)3\min 30\sec =180\sec +30\sec =210\sec \\ 2\min 30\sec =120\sec +30\sec =150\sec \\ \mathrm{Ratio}\mathrm{of}210\sec \mathrm{to}150\sec =\frac{210}{150}=7:5 \\ \left(\mathrm{ii}\right)8\mathrm{years}4\mathrm{months}=96\mathrm{months}+4\mathrm{months}=100\mathrm{months} \\ 2\mathrm{years}6\mathrm{months}=24\mathrm{months}+6\mathrm{months}=30\mathrm{months} \\ \mathrm{Ratio}\mathrm{of}100\mathrm{months}\mathrm{to}30\mathrm{months}=\frac{100}{30}=10:3 \end{gathered}$$