Question
Evaluate: $\frac{-5}{9}+\frac{-7}{12}+\frac{11}{18}$
✓
Answer
$\frac{-5}{9}+\frac{-7}{12}+\frac{11}{18}$
L.C.M. of 9,12 and $18=2 \times 2 \times 3 \times 3=36$
$ \begin{aligned} & \Rightarrow \frac{-5 \times 4}{9 \times 4}+\frac{7 \times 3}{12 \times 3}+\frac{11 \times 2}{18 \times 2} \\ & (\because \text { L.C.M. of } 9,12 \text { and } 18=36) \end{aligned} $
$(\because$ L.C.M. of 9,12 and $18=36$ )
$ \begin{aligned} & \Rightarrow \frac{-20-21+22}{36} \\ & =\frac{-41+22}{36}=\frac{-19}{36} \end{aligned} $
| 2 | 9,12,18 |
| 2 | 9,6,9 |
| 3 | 9,3,9 |
| 3 | 3,1,3 |
| 1,1,1 |
L.C.M. of 9,12 and $18=2 \times 2 \times 3 \times 3=36$
$ \begin{aligned} & \Rightarrow \frac{-5 \times 4}{9 \times 4}+\frac{7 \times 3}{12 \times 3}+\frac{11 \times 2}{18 \times 2} \\ & (\because \text { L.C.M. of } 9,12 \text { and } 18=36) \end{aligned} $
$(\because$ L.C.M. of 9,12 and $18=36$ )
$ \begin{aligned} & \Rightarrow \frac{-20-21+22}{36} \\ & =\frac{-41+22}{36}=\frac{-19}{36} \end{aligned} $
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