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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