Question

add.
$-\frac{2}{3} + \frac{4}{7}$
write your answer in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 3 and 7, and their least common denominator is \(3\times7 = 21\).
Rewrite each fraction with the common denominator:
\(-\frac{2}{3}=-\frac{2\times7}{3\times7}=-\frac{14}{21}\)
\(\frac{4}{7}=\frac{4\times3}{7\times3}=\frac{12}{21}\)

Step2: Add the fractions

Now add the two fractions with the common denominator:
\(-\frac{14}{21}+\frac{12}{21}=\frac{-14 + 12}{21}=\frac{-2}{21}\)

Answer:

\(-\frac{2}{21}\)