Question
Evaluate: $\frac{3}{7}+\frac{-4}{9}-\frac{-11}{7}-\frac{7}{9}$
✓
Answer
$ \frac{3}{7}+\frac{-4}{9}-\frac{-11}{7}-\frac{7}{9}$
$ \Rightarrow\left(\frac{3}{7}-\frac{-11}{7}\right)+\left(\frac{-4}{9}-\frac{7}{9}\right)$
$ \Rightarrow\left(\frac{3}{7}+\frac{11}{7}\right)+\left(\frac{-4}{9}-\frac{7}{9}\right)$
$ \Rightarrow \frac{14}{7}+\frac{-11}{9}$
$ \Rightarrow 2-\frac{-11}{9}$
$ \Rightarrow \frac{2 \times 9-11}{9}$
$\Rightarrow \frac{18-11}{9} $
$\Rightarrow \frac{7}{9}$
$ \Rightarrow\left(\frac{3}{7}-\frac{-11}{7}\right)+\left(\frac{-4}{9}-\frac{7}{9}\right)$
$ \Rightarrow\left(\frac{3}{7}+\frac{11}{7}\right)+\left(\frac{-4}{9}-\frac{7}{9}\right)$
$ \Rightarrow \frac{14}{7}+\frac{-11}{9}$
$ \Rightarrow 2-\frac{-11}{9}$
$ \Rightarrow \frac{2 \times 9-11}{9}$
$\Rightarrow \frac{18-11}{9} $
$\Rightarrow \frac{7}{9}$
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