Question

Nagma gave $2\frac{3}{4}\text{litres}$ out of the $5\frac{1}{2}\text{litres}$ of juice she purchased to her friends . How many litres of juice is left with her ?

Answer 1

Finding the juice left with Nagma

Nagma purchased juice $=5\frac{1}{2}\text{litres}$$=\frac{11}{2}\text{litres}$

Nagma gave juice to her friends $=2\frac{3}{4}\text{litres}$$=\frac{\text{11}}{4}\text{litres}$

Juice left with Nagma $=\frac{11}{2}-\frac{11}{4}$

$$\begin{gathered} =\frac{11\times 2-11}{4} \\ =\frac{22-11}{4} \\ =\frac{11}{4}\text{litres} \end{gathered}$$

Now, we convert the improper fraction into mix fraction $\frac{11}{4}\mathrm{litres}=2\frac{3}{4}\text{litres}$

Hence, juice left with Nagma is $2\frac{3}{4}\text{litres}$ .