Question

​​Find the ratio of the following:-
(i) 7 Days to one week
(ii) 3/2 hours to 45 seconds
(iii) 30 cm to 2.4 m
(iv) 1.2 Kg to 90 g

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right). \\ 1\mathrm{week}=7\mathrm{days} \\ \frac{7\mathrm{days}}{1\mathrm{week}}=\frac{7\mathrm{days}}{7\mathrm{days}}=1=1:1 \\ \left(\mathrm{ii}\right). \\ \frac{3}{2}\mathrm{hrs}=\frac{3}{2}\times 3600\sec =5400\sec \\ \mathrm{Now},\frac{3/2\mathrm{hrs}}{45\sec }=\frac{5400\sec }{45\sec }=120=120:1 \\ \left(\mathrm{iii}\right). \\ 2.4\mathrm{m}=2.4\times 100\mathrm{cm}=240\mathrm{cm} \\ \mathrm{Now},\frac{30\mathrm{cm}}{2.4\mathrm{m}}=\frac{30\mathrm{cm}}{240\mathrm{cm}}=\frac{1}{8}=1:\hspace{0.17em}8 \\ \left(\mathrm{iv}\right). \\ 1.2\mathrm{kg}=1.2\times 1000=1200\mathrm{g} \\ \frac{1.2\mathrm{kg}}{90\mathrm{g}}=\frac{1200}{90}=\frac{40}{3}=40:3 \end{gathered}$$