Question
Evaluate: $\frac{-3}{8}+\frac{-5}{12}$
✓
Answer
$\frac{-3}{8}+\frac{-5}{12}$
L.C.M. of 8 and $12=2 \times 2 \times 2 \times 3=24$
$ \Rightarrow \frac{-3 \times 3}{8 \times 3}+\frac{-5 \times 2}{12 \times 2} $
$(\because$ L.C.M. of 8 and $12=24)$
$ \Rightarrow \frac{-9-10}{24}=-\frac{19}{24} $
| 2 | 8,12 |
| 2 | 4,6 |
| 2 | 2,3 |
| 3 | 1,3 |
| 1,1 |
L.C.M. of 8 and $12=2 \times 2 \times 2 \times 3=24$
$ \Rightarrow \frac{-3 \times 3}{8 \times 3}+\frac{-5 \times 2}{12 \times 2} $
$(\because$ L.C.M. of 8 and $12=24)$
$ \Rightarrow \frac{-9-10}{24}=-\frac{19}{24} $
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