Question
Find
$\frac{-3}{7}+\frac{2}{3}$
$\frac{-3}{7}+\frac{2}{3}$
✓
Answer
Given, $\frac{-3}{7}+\frac{2}{3}$
$\because$ LCM of 7 and $3=21$
So, $\frac{-3}{7}=\frac{-3 \times 3}{7 \times 3}=\frac{-9}{21}$ and $\frac{2}{3}=\frac{2 \times 7}{3 \times 7}=\frac{14}{21}$
$\therefore \frac{-3}{7}+\frac{2}{3}=\frac{-9}{21}+\frac{14}{21}=\frac{-9+14}{21}=\frac{5}{21}$
$\because$ LCM of 7 and $3=21$
So, $\frac{-3}{7}=\frac{-3 \times 3}{7 \times 3}=\frac{-9}{21}$ and $\frac{2}{3}=\frac{2 \times 7}{3 \times 7}=\frac{14}{21}$
$\therefore \frac{-3}{7}+\frac{2}{3}=\frac{-9}{21}+\frac{14}{21}=\frac{-9+14}{21}=\frac{5}{21}$
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