SOLUTION
The given expression is
[tex]\frac{2}{5}+\frac{3}{4}-\frac{1}{2}+\frac{3}{8}[/tex]To simplify the expression, arrange the indicated operation so that addition comes first
[tex]\frac{2}{5}+\frac{3}{4}+\frac{3}{8}-\frac{1}{2}[/tex]Then we take the LCM of the denominators
The LCM of the denominators gives
[tex]40[/tex]We now simplify the expression using this common multiplier
[tex]\begin{gathered} \frac{2}{5}+\frac{3}{4}+\frac{3}{8}-\frac{1}{2} \\ \frac{16+30+15-20}{40} \end{gathered}[/tex]Then, we add and subtract the numerator
[tex]\frac{61-20}{40}=\frac{41}{40}[/tex]Therefore the answer is
[tex]1\frac{1}{40}[/tex]
