Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 10: Exercise 1.2

Find $\left(a+b\right)÷\left(a-b\right)$ if $a=\frac{1}{2}, b=\frac{2}{3}$

Find $\left(a+b\right)÷\left(a-b\right)$ if $a=\frac{-3}{5}, b=\frac{2}{15}$

Simplify : $\frac{1}{2}+\left(\frac{3}{2}-\frac{2}{5}\right)÷\frac{3}{10}\times 3$ and show that it is a rational number between $11$and $12.$

Simplify : $\left[\frac{11}{8}\times \left(\frac{-6}{33}\right)\right]+\left[\frac{1}{3}+\left(\frac{3}{5}÷\frac{9}{20}\right)\right]-\left[\frac{4}{7}\times \frac{-7}{5}\right]$ 

Simplify : $\left[\frac{4}{3}÷\left(\frac{8}{-7}\right)\right]-\left[\left(\frac{3}{4}\times \frac{4}{3}\right)\right]+\left[\frac{4}{3}\times \left(\frac{-1}{4}\right)\right]$ 

A student had multiplied a number by $\frac{4}{3}$ instead of dividing it by $\frac{4}{3}$ and got $70$ more than the correct answer. Find the number.

$\left(\frac{3}{4}-\frac{5}{8}\right)+\frac{1}{2}=\_\_\_\_\_$

$\frac{3}{4}\times \left(\frac{5}{8}÷\frac{1}{2}\right)=\_\_\_\_\_$