Question
Evaluate: $\frac{9}{-16}+\left(-\frac{5}{-12}\right)$
✓
Answer
$\begin{aligned} & \frac{9}{-16}+\left(-\frac{5}{-12}\right) \\ & =\frac{9}{-16}+\left(\frac{5}
{12}\right)\end{aligned}$
| 2 | 16,12 |
| 2 | 8,6 |
| 2 | 4,3 |
| 2 | 2,3 |
| 3 | 1,3 |
| 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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