Question

add.
$-dfrac{1}{5}+dfrac{2}{3}$
write your answer in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 5 and 3. The least common denominator is \( 5\times3 = 15 \).
Rewrite the fractions with the common denominator:
\( -\frac{1}{5}=-\frac{1\times3}{5\times3}=-\frac{3}{15} \)
\( \frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15} \)

Step2: Add the fractions

Now add the two fractions with the common denominator:
\( -\frac{3}{15}+\frac{10}{15}=\frac{-3 + 10}{15}=\frac{7}{15} \)

Answer:

\( \frac{7}{15} \)