Question

If cost of a notebook is $₹7\frac{3}{4}$, how many note books can be purchased for $₹69\frac{3}{4}$.

Answer 1

Find the required number of note books

First convert the mix fractions into improper fraction.

$7\frac{3}{4}=$$\frac{31}{4}$ ,$69\frac{3}{4}=\frac{279}{4}$

In$₹\frac{31}{4}$ notebooks purchased $=1$

In $₹1$notebooks purchased$=1÷\frac{31}{4}$

$$\begin{gathered} =1\times \frac{4}{31} \\ =\frac{4}{31} \end{gathered}$$

In $₹\frac{279}{4}$notebooks purchased$=$$\frac{4}{31}\times \frac{279}{4}$

$$\begin{gathered} =\frac{\sout{4}}{\sout{31}}\times \frac{\sout{279}}{\sout{4}} \\ =9 \end{gathered}$$

Hence, $9$ note books can be purchased for $₹69\frac{3}{4}$.