The problem requires simplifying the expression: $\frac{1}{3}a^2b - \frac{3}{5}ab^2 + \frac{3}{8}a^2b^2 - \frac{5}{3}ab$

1. Problem Description

The problem requires simplifying the expression:

$\frac{1}{3}a^2b - \frac{3}{5}ab^2 + \frac{3}{8}a^2b^2 - \frac{5}{3}ab$

2. Solution Steps

The expression is:

$\frac{1}{3}a^2b - \frac{3}{5}ab^2 + \frac{3}{8}a^2b^2 - \frac{5}{3}ab$

We can't simplify the expression further since the terms are not like terms. We have $a^2b$, $ab^2$, $a^2b^2$, and $ab$. These are all different terms, so we cannot combine them.

3. Final Answer

$\frac{1}{3}a^2b - \frac{3}{5}ab^2 + \frac{3}{8}a^2b^2 - \frac{5}{3}ab$