Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
Add the following rational numbers. $\frac{3}{4}\ \text{and}\ \frac{-3}{5}$
✓
Answer
The denominators of the given rational number are $4$ and $5.$
$LCM$ of $4, 5$ is $20$
Now,
$\frac{3}{4}=\frac{3\times5}{4\times5}$
$=\frac{15}{20}$
and $\frac{-3}{5}=\frac{-3\times4}{5\times4}$
$=\frac{-12}{20}$
$\therefore\frac{3}{4}+\Big(\frac{-3}{5}\Big)$
$=\frac{15}{20}+\frac{-12}{20}$
$=\frac{15+(-12)}{20}$
$=\frac{15-12}{20}$
$=\frac{3}{20}$
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