Question

Suman studies for $5\frac{2}{3}$ hours daily. She devotes $2\frac{4}{5}$ hours of her time for Science and Mathematics. How much time does she devote for other subjects?

Answer 1

Suman studies for $5\frac{2}{3}\mathrm{hours}$ daily. Therefore, we have
$5\frac{2}{3}\mathrm{hours}=\frac{(5\times 3)+2}{3}=\frac{17}{3}\mathrm{hours}$
She studies science and mathematics for $2\frac{4}{5}\mathrm{hours}$. Therefore, we have
$2\frac{4}{5}\mathrm{hours}=\frac{(2\times 5)+4}{5}=\frac{14}{5}\mathrm{hours}$
Time devoted to other subjects = Total study time $-$ Time devoted to science and mathematics

= $$\begin{gathered} \frac{17}{3}-\frac{14}{5}=\frac{(17\times 5)-(14\times 3)}{15} \\ =\frac{43}{15}\mathrm{hours} \end{gathered}$$