Answer
$\dfrac{4}{5}$
Work Step by Step
Multiply the fractions first to obtain:
$\require{cancel}
=\dfrac{2}{3}+\dfrac{4(1)}{5(6)}
\\=\dfrac{2}{3}+\dfrac{4}{30}
\\=\dfrac{2}{3} + \dfrac{\cancel{4}2}{\cancel{30}15}
\\=\dfrac{2}{3}+\dfrac{2}{15}$
Make the fractions similar using their LCD of $15$ to obtain:
$=\dfrac{2(5)}{3(5)}+\dfrac{2}{15}
\\=\dfrac{10}{15} + \dfrac{2}{15}
\\=\dfrac{10+2}{15}
\\=\dfrac{12}{15}$
Cancel the common factor $3$ to obtain:
$\require{cancel}
=\dfrac{\cancel{12}4}{\cancel{15}5}
\\=\dfrac{4}{5}$
