S K Gupta and Anubhuti Gangal Solutions for Exercise 7: Chapter Assessment

What number should be added to $\frac{-3}{4}$ to get $\frac{+7}{6}$?

The property of rational numbers illustrated by the mathematical expression.

$\left(\frac{2}{7}+\frac{-3}{8}\right)\times \frac{5}{11}=\left(\frac{2}{7}\times \frac{5}{11}\right)+\left(\frac{-3}{8}\times \frac{5}{11}\right)$ is 

$\frac{3}{8}÷\left(\frac{-51}{24}÷\frac{17}{12}\right)$ is equal to : 

The rational number equivalent to $\frac{-24}{45}$ is : 

The sum of the additive inverse and multiplicative inverse of $2$ is  

Show that:

$\left(\frac{-8}{9}\times \frac{1}{-5}\right)+\left(\frac{-8}{9}\times \frac{-7}{11}\right)=\frac{-8}{9}\times \left(\frac{1}{-5}+\frac{-7}{11}\right)$

The area of a parallelogram is $12\frac{1}{4}{\mathrm{cm}}^2$. If its height is $1\frac{6}{7}\mathrm{cm}$, find its base.

The quotient that you get after dividing the reciprocal of the sum of $\frac{-4}{15}+\frac{2}{5}$, by the sum is the multiplicative identity.