Question
Evaluate: $\frac{9}{-16}+\left(-\frac{5}{-12}\right)$

Answer


$\begin{aligned} & \frac{9}{-16}+\left(-\frac{5}{-12}\right) \\ & =\frac{9}{-16}+\left(\frac{5}
{12}\right)\end{aligned}$
216,12
28,6
24,3
22,3
31,3
1,1

L.C.M. of 16 and $12=2 \times 2 \times 2 \times 2 \times 3=48$
$ \Rightarrow \frac{9 \times 3}{16 \times 3}+\frac{5 \times 4}{12 \times 4} $
$(\because$ L.C.M. of 16 and $12=48$ )
$ \Rightarrow \frac{-27+20}{48}=-\frac{7}{48} $

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