Telangana Board Solutions for Chapter: Rational Numbers, Exercise 15: Exercise 15

Express the decimal $12.2\overline{9}$ in the rational form $\left(\frac{p}{q}\right)$.

Express the decimal $12.2\overline{8}$ in the rational form $\left(\frac{p}{q}\right)$.

Find $\left(x+y\right)÷\left(x-y\right)$ if  $x=\frac{1}{4}$ and $y=\frac{3}{2}$.

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

If $\frac{2}{5}$ of a number exceeds $\frac{1}{7}$ of the same number by $36$. Find the number.

The cost of  $7\frac{2}{3}$ meters of cloth is $₹ 12\frac{3}{4}$. The cost per metre is$₹ K$. Find $K$. (express the answer upto two decimal places)

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

If $36$ trousers of equal sizes can be stitched with $64$ meters of cloth. The length of the cloth required for each trouser is $\mathrm{K} \mathrm{meters}$? Find $\mathrm{K}$. (express the answer in improper fraction)