Answer
$\frac{23}{30}$
Work Step by Step
The LCM of the original denominators, 3, 6, and 15, is 30. Therefore, we can rewrite the original fractions with a denominator of 30.
$\frac{4}{15}+\frac{1}{6}+\frac{1}{3}=\frac{4\times2}{15\times2}+\frac{1\times5}{6\times5}+\frac{1\times10}{3\times10}=\frac{8}{30}+\frac{5}{30}+\frac{10}{30}=\frac{8+5+10}{30}=\frac{23}{30}$
