S Purkayastha Solutions for Chapter: Rational Numbers, Exercise 9: Check Point

Evaluate the following

What should be added to $\left(\frac{-4}{15}+\frac{7}{10}\right)$ to get $1$.

What should be subtracted from $1\frac{9}{11}$ to get $2\frac{11}{13}$.

Subtract the sum of $-2\frac{5}{11}$ and $3\frac{3}{22}$ from the difference of $1\frac{16}{44}$ and $\frac{13}{55}$.

Subtract the sum of $\frac{-5}{7}$ and $\frac{15}{14}$ from $\frac{9}{28}$

Subtract the sum of $\frac{-36}{11}$ and $\frac{49}{22}$ from the sum of $\frac{33}{8}$ and $\frac{-19}{4}$

The difference of two rational numbers is $\frac{-6}{25}$. If the greater number is $\frac{-4}{9}$, what is the smaller number?

Out of some footballs $\frac{1}{3}$ are black, $\frac{1}{4}$ are white, $\frac{1}{5}$ are yellow and the remaining are red. What part of the balls is red?