Answer
$\frac{1}{2}$
Work Step by Step
$\frac{3}{5}(\frac{1}{3}) + \frac{2}{5}(\frac{3}{4})$ = $\frac{3}{15} + \frac{6}{20}$ = $\frac{12}{60} + \frac{18}{60}$ = $\frac{30}{60}$ = $\frac{1}{2}$
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