Write the following ratio in the simplest form:
$$48\ min:2\ hrs\ 40\ min$$
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 $$3:10$$