Question
Add the following rational numbers: $\frac{31}{-4}\text{ and }\frac{-5}{8}$

Answer

$\frac{31}{-4}\text{ and }\frac{-5}{8}$
$LCM$ of $4$ and $8$ is $4$
$\frac{31}{-4}=\frac{31\times2}{-4\times2}=\frac{62}{-8}$
$\frac{31}{-4}+\frac{-5}{8}=\frac{62}{-8}+\frac{-5}{8}$
$=\frac{-62-5}{8}$
$=\frac{-67}{8}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Two numbers are in the ratio $5 : 9.$ On subtracting $3$ from each, the ratio becomes $1 : 2.$ Find the numbers.
Find the area of a rectangular park which is $41\frac{2}{3}\text{m}$ long and $18$$18\frac{3}{5}\text{m}$ broad.
The adjoining figure shows two circles with the same centre. The radius of the larger circle is $10\ cm$ and the radius of the smaller circle is $4\ cm.$ Find:

$i.$ the area of the larger circle
$ii.$ the area of the smaller circle
$iii.$ the shaded area between the two circles.$ (\pi = 3.14)$
Add the following expression: $\frac{2}{3}\text{a}-\frac{4}{5}\text{b}+\frac{3}{5}\text{c},-\frac{3}{4}\text{a}-\frac{5}{2}\text{b}+\frac{2}{3}\text{c}, \frac{5}{2}\text{a}+\frac{7}{4}\text{b}-\frac{5}{6}\text{c}$
In the given figure, rays $OA, OB, OC$ and $OD$ are such that $\angle\text{AOB} = 56^\circ,\angle\text{BOC} =100^\circ, \angle\text{COD} = \text{x}^\circ$ and $\angle\text{DOA} = 74^\circ.$ Find the value of $x.$
In Fig. line $A C \|$ line $D E$ and $\angle A B D=32^{\circ}$. Find out the angles $x$ and $y$, if $\angle E=122^{\circ}$.
Image
Solve each of the following equation and check your answer:
$x+\frac{1}{2}=\frac{7}{2}$
In the given figure, $AOB$ is a straight line and the ray $OC$ stands on it. If $\angle\text{AOC} = 64^\circ$ and $\angle\text{BOC} = \text{x}^\circ,$ find the value of $x.$
The daily wages (in Rs) of $15$ workers in a factory are given below:
$200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180$
Prepare the frequency table and find the mean wage.