Answer :
[tex]\frac{\frac{2}{5}}{\frac{3}{5}}=\ \ \ \ \ \ | During\ fraction\ division\ you\ multiply\ first\ fraction\ by\\inverse\ of\ the\ second\\\\ \frac{2}{5}*\frac{5}{3}=\frac{2*5}{5*3}=\ \ \ \ | Shortening\ fractions\\\\ \frac{2}{3}\\\\ Solution\ is\ \frac{2}{3}.[/tex]
[tex]2/5 : 3/5 \\ =2/5\times5/3 \\ =(2\times5)/(5\times3) \ \ \ \ \ \ \ (simplification [5]) \\ =2/3[/tex]
