Question

Vikram spends $3\frac{1}{2}$ hours in doing homework whereas his sister Neeru spends $2\frac{1}{4}$ hours. How much more time does Vikram spend in doing homework ?

Answer 1

Step 1: Convert the given rational numbers into their standard form.

Given : Hours spent by Vikram on homework $=3\frac{1}{2}=\frac{7}{2}$hours

Hours spent by Neeru on homework $=2\frac{1}{4}=\frac{9}{4}$hours

Difference between the time spent by Vikram and Neeru on homework $=\frac{7}{2}-\frac{9}{4}$

$$\begin{gathered} =\frac{7\times 2}{2\times 2}-\frac{9\times 1}{4\times 1}[\mathrm{LCM}\mathrm{of}2\mathrm{and}4\mathrm{is}4] \\ =\frac{14}{4}-\frac{9}{4} \\ =\frac{14-9}{4} \\ =\frac{5}{4} \end{gathered}$$

Hence, Vikram spent $\frac{5}{4}$ hours more than Neeru in doing homework.