Question

Sushil purchased $12\frac{1}{2}\text{litres}$ of juice on Monday and$14\frac{3}{4}\text{litres}$ of juice on Tuesday .How many litres of juice did he purchase together on both days ?

Answer 1

Finding the quantity of juice purchased by Sushil on both days

Sushil purchased juice on Monday $=12\frac{1}{2}\mathrm{litres}=\frac{25}{2}\text{litres}$

Sushil purchased juice on Tuesday $=14\frac{3}{4}\mathrm{litres}=\frac{59}{4}\text{litres}$

Sushil purchased juice on both days $=\frac{25}{2}+\frac{59}{4}$

$$\begin{gathered} =\frac{25\times 2+59\times 1}{4}[\mathrm{LCM}(2,4)=4] \\ =\frac{50+59}{4} \\ =\frac{109}{4}\text{litres} \end{gathered}$$

Now, we convert this imroper fraction into mix fraction $=\frac{109}{4}\mathrm{litres}=27\frac{1}{4}\text{litres}$

Hence, juice purchased by Sushil on both days is $27\frac{1}{4}\text{litres}$