Question
Evaluate: $\frac{7}{-26}+\frac{16}{39}$
✓
Answer
$\frac{7}{-26}+\frac{16}{39}$
L.C.M. of 26 and $39=2 \times 3 \times 13=78$
$ \begin{aligned} & \Rightarrow \frac{-7 \times 3}{26 \times 3}+\frac{16 \times 2}{39 \times 2} \\ & (\because \text { L.C.M. of }-26 \text { and } 39=78) \end{aligned} $
$ =\frac{-21+32}{78}=\frac{11}{78}
$
| 2 | 26,39 |
| 3 | 13,39 |
| 13 | 13,13 |
| 1,1 |
L.C.M. of 26 and $39=2 \times 3 \times 13=78$
$ \begin{aligned} & \Rightarrow \frac{-7 \times 3}{26 \times 3}+\frac{16 \times 2}{39 \times 2} \\ & (\because \text { L.C.M. of }-26 \text { and } 39=78) \end{aligned} $
$ =\frac{-21+32}{78}=\frac{11}{78}
$
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