Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
Add the following rational numbers.
$-1\ \text{and}\ \frac{3}{4}$
✓
Answer
We can write $-1\ \text{as}\ \frac{-1}{1}$
The denominators of the given rational number are $1$ and $4.$
$LCM$ of $1$ and $4$ is $4$
Now,
$\frac{-1}{1}=\frac{-1\times4}{1\times4}$
$=\frac{-4}{4}$
and $\frac{3}{4}=\frac{3\times1}{4\times1}$
$=\frac{3}{4}$
$\therefore-1+\frac{3}{4}$
$=\frac{-4}{4}+\frac{3}{4}$
$=\frac{-4+3}{4}$
$=\frac{-1}{4}$
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