Question

Write the following ratio in the simplest form:
$$48\ min:2\ hrs\ 40\ min$$

Answer 1

To convert given ratio $$a:b$$ to his simplest form, we divide each term by the $$HCF$$ of $$a$$ and $$b$$

$$\therefore48$$ min : $$2$$ hrs $$40$$ min

$$=48$$ min : $$160$$ min

$$=\dfrac{48}{160}$$

$$=\dfrac{48\div 16}{160\div 16}$$ $$[\because HCF$$ of $$48$$ and $$160$$ is $$16]$$

$$=\dfrac3{10}$$

$$\therefore$$ Simplest form of $$48$$ min $$:2$$ hrs $$40$$ min is $$3:10$$