Question

Naman travelled $3\frac{1}{2}\text{km}$ in a bus and then walked $1\frac{1}{8}\text{km}$ to reach a town . How much did he travel to reach the town ?

Answer 1

Naman travelled by bus $=3\frac{1}{2}\mathrm{km}=\frac{7}{2}\text{km}$

Naman walked to town $=1\frac{1}{8}\mathrm{km}=\frac{9}{8}\text{km}$

Total distance travelled by Naman $=\frac{7}{2}+\frac{9}{8}$

$$\begin{gathered} =\frac{7\times 4+9\times 1}{8}[\because \mathrm{LCM}(2,8)=8] \\ =\frac{28+9}{8} \\ =\frac{37}{8}\text{km} \end{gathered}$$

Now we convert this improper fraction into mix fraction $\frac{37}{8}=4\frac{5}{8}\text{km}$

Hence, total distance travelled by Naman to reach his town is $4\frac{5}{8}\text{km}$