Question
Evaluate the following:
$-\frac{4}{7}-\frac{2}{-3}$
$-\frac{4}{7}-\frac{2}{-3}$
✓
Answer
$-\frac{4}{7}-\frac{2}{-3}$
LCM of 3 and 7 is 21
$\frac{-4}{7}=\frac{-4\times3}{7\times3}=-\frac{12}{21}$
$\frac{2}{-3}=\frac{2\times7}{-3\times7}=\frac{14}{21}$
$\frac{-4}{7}-\frac{2}{-3}=-\frac{12}{21}-\frac{-14}{21}$
$\frac{-14}{21}-\frac{12}{21}-\frac{-14}{21}$
$=\frac{14}{21}-\frac{12}{21}$
$=\frac{14-12}{21}$
$=\frac{2}{21}$
LCM of 3 and 7 is 21
$\frac{-4}{7}=\frac{-4\times3}{7\times3}=-\frac{12}{21}$
$\frac{2}{-3}=\frac{2\times7}{-3\times7}=\frac{14}{21}$
$\frac{-4}{7}-\frac{2}{-3}=-\frac{12}{21}-\frac{-14}{21}$
$\frac{-14}{21}-\frac{12}{21}-\frac{-14}{21}$
$=\frac{14}{21}-\frac{12}{21}$
$=\frac{14-12}{21}$
$=\frac{2}{21}$
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