Answer
$\frac{7}{30}n$
Work Step by Step
We first apply the distributive property. Then, we simplify the resultant expression:
$\frac{2}{5}n-\frac{7}{10}n+\frac{8}{15}n$
=$n(\frac{2}{5}-\frac{7}{10}+\frac{8}{15})$
=$n(\frac{2(6)-7(3)+8(2)}{30})$
=$n(\frac{12-21+16}{30})$
=$n(\frac{-9+16}{30})$
=$n(\frac{7}{30})$
=$\frac{7}{30}n$
