ANSWER
[tex]\text{12}\frac{1}{2}[/tex]EXPLANATION
We want to understand how fractions are divided.
We have:
[tex]\frac{15}{3}\div\frac{2}{5}[/tex]In dividing fractions, what is done is that the numerator and denominator of the fraction on the right (2/5) are flipped over and the divisioin sign changes to multiplication.
So, it becomes:
[tex]\begin{gathered} \frac{15}{3}\cdot\text{ }\frac{5}{2} \\ =\text{ }\frac{75}{6} \\ =\text{ 12}\frac{3}{6}\text{ = 12}\frac{1}{2} \end{gathered}[/tex]