Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
Add the following rational numbers. $\frac{-8}{9}\ \text{and}\ \frac{11}{6}$
✓
Answer
The denominators of the given rational number are $9$ and $6.$
$LCM$ of $9, 6$ is $18$
Now,
$\frac{-8}{9}=\frac{-8\times2}{9\times2}$
$=\frac{-16}{18}$
and $\frac{11}{6}=\frac{11\times3}{6\times3}$
$=\frac{33}{18}$
$\therefore\frac{-8}{9}+\frac{11}{6}$
$=\frac{-16}{18}+\frac{33}{18}$
$=\frac{-16+33}{18}$
$=\frac{-17}{18}$
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