Question
Evaluate: $\frac{2}{3}+\frac{-4}{5}-\frac{1}{3}-\frac{2}{5}$
✓
Answer
$ \frac{2}{3}+\frac{-4}{5}-\frac{1}{3}-\frac{2}{5}$
$ \Rightarrow\left(\frac{2}{3}-\frac{1}{3}\right)+\left(\frac{-4}{5}-\frac{2}{5}\right)$
$ \Rightarrow \frac{1}{3}+\frac{-6}{5}$
$ \Rightarrow \frac{1}{3}-\frac{6}{5}$
$ \Rightarrow \frac{(1 \times 5)-(6 \times 3)}{15}(\therefore \text { LCM of } 3 \text { and } 5=15)$
$ \Rightarrow \frac{5-18}{15} \Rightarrow-\frac{13}{15}$
$ \Rightarrow\left(\frac{2}{3}-\frac{1}{3}\right)+\left(\frac{-4}{5}-\frac{2}{5}\right)$
$ \Rightarrow \frac{1}{3}+\frac{-6}{5}$
$ \Rightarrow \frac{1}{3}-\frac{6}{5}$
$ \Rightarrow \frac{(1 \times 5)-(6 \times 3)}{15}(\therefore \text { LCM of } 3 \text { and } 5=15)$
$ \Rightarrow \frac{5-18}{15} \Rightarrow-\frac{13}{15}$
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