Question
Evaluate: $\frac{7}{26}+2+\frac{-11}{13}$
✓
Answer
$\begin{aligned} & \frac{7}{26}+2+\frac{-11}{13} \\ & \Rightarrow \frac{7}{26}+\frac{2}{1}+\frac{-11}{13}\end{aligned}$
| 2 | 26,13 |
| 13 | 13,13 |
| 1,1 |
L.C.M. of 26 and $13=2 \times 13=26$
$ \Rightarrow \frac{7 \times 1}{26 \times 1}+\frac{2 \times 26}{1 \times 26}-\frac{11 \times 2}{13 \times 2} $
$(\because$ L.C.M. of 26 and $13=26)$
$ \Rightarrow \frac{7+52-22}{26} $
$ =\frac{59-22}{26}=\frac{37}{26} $
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