Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
Add the following rational numbers.
$2\ \text{and}\ \frac{-5}{4}$
✓
Answer
We can write $2\ \text{as}\ \frac{2}{1}$
The denominators of the given rational number are $1$ and $4.$
$LCM$ of $1$ and $4$ is $4$
Now,
$\frac{2}{1}=\frac{2\times4}{1\times4}$
$=\frac{8}{4}$
and $\frac{5}{-4}=\frac{-5\times1}{4\times1}$
$=\frac{-5}{4}$
$\therefore2+\frac{(-5)}{4}$
$=\frac{8}{4}+\frac{(-5)}{4}$
$=\frac{8+(-5)}{4}$
$=\frac{8-5}{4}$
$=\frac{3}{4}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.