Operations on Rational Numbers

Evaluate $\frac{81}{49}-\frac{3}{2}$

Find the value of $19+\frac{1}{5}$ 

Divide the sum of $\frac{-1}{12}$ and $\frac{-4}{9}$ by their difference.

What number should be added to $-\frac{3}{7}$ so as to get $1$?

$\left(-27\right)+$_____$=0$.

Verify the following calculation.

$\frac{4}{-5}\times \left(\frac{8}{11}-\frac{7}{13}\right)=\left(\frac{4}{-5}\times \frac{8}{11}\right)-\left(\frac{{\displaystyle 4}}{{\displaystyle -5}}\times \frac{{\displaystyle 7}}{{\displaystyle 13}}\right)$

Evaluate .

$\left(\frac{8}{5}\times \frac{-3}{2}\right)+\left(\frac{-3}{10}\times \frac{9}{16}\right)$

Add $\frac{2}{3}$ and the reciprocal of $\frac{4}{5}$.

Find $\frac{-4}{5}\times \frac{3}{7}\times \frac{15}{16}\times \left(\frac{-14}{9}\right)$

The value of the expression $\left(-1\frac{1}{4}\right)+\left(-1\frac{1}{4}\right)+........+100$ times is

$\left[\frac{2}{5}-\left(2\frac{2}{5}-2\right) of \left\{1\frac{1}{5}-\frac{2}{5}÷\left(1\frac{1}{3}-\frac{5}{6}\right)\right\}\right]$

Isha travelled by a bus towards east of Delhi by $58 km$ and then towards the west of Delhi by $82 km$. How far was she from Delhi finally?

Solve the following:

$15\frac{1}{2}-\left[\frac{12}{5}\times \frac{5}{8}+\left(7÷1\frac{3}{4}\right)\right]\times 2$

Can you tell me what is additive inverse.

How to add rational numbers

Sum of two rational numbers is $\frac{3}{5}$. If one of them is $-\frac{2}{7}$, find the other.

$6+\left|-10\right|$

Using the distributive property evaluate the following:

$\frac{-5}{8}\times \frac{5}{7}-\frac{3}{14}\times \frac{5}{8}$

Find the value of $\left(\frac{-13}{24}\right)+\frac{6}{28}+\left(\frac{-19}{7}\right)$

Fatima is making $4\frac{1}{2}$ trays of biscuits. If each tray requires $1\frac{1}{2}$ cups of flour, how much flour will she need in all?