R. D. Sharma Solutions for Chapter: Operations on Rational Numbers, Exercise 4: EXERCISE

Find $(\mathrm{x}\mathrm{}+\mathrm{}\mathrm{y})\mathrm{}÷\mathrm{}(\mathrm{x}\mathrm{}—\mathrm{y})$, if
$\mathrm{x}=\frac{2}{3}\mathrm{}\mathrm{}\mathrm{y}=\frac{3}{2}$

Find $(\mathrm{x}\mathrm{}+\mathrm{}\mathrm{y})\mathrm{}÷\mathrm{}(\mathrm{x}\mathrm{}—\mathrm{y})$, if
$\mathrm{x}=\frac{2}{5}, \mathrm{y}=\frac{1}{2}$

The cost of $7\frac{2}{3} \mathrm{metres}$ of rope is $\mathrm{Rs}.12\frac{3}{4}$. Find its cost per $\mathrm{metre}$ (in mixed fraction).

The cost of $2\frac{1}{3} \mathrm{metres}$ of cloth is $₹75\frac{1}{4}$. Find the cost of cloth per $\mathrm{metre}$ (in mixed fraction).

By what number should $\frac{-33}{16}$ be divided to get $\frac{-11}{4}$?

Divide the sum of $\frac{-13}{5}$ and $\frac{12}{7}$ by the product of $\frac{-31}{7}$ and $\frac{-1}{2}$

Divide the sum of $\frac{65}{12}$ and $\frac{8}{3}$ by their difference and express the answer in improper fraction.

If $24$ trousers of equal size can be prepared in $54 \mathrm{metres}$ of cloth, what length of cloth is required for each trouser (express the answer in simplest form)?