We are given the following expression:
[tex]\frac{3}{10}\div\frac{8}{5}[/tex]To solve the expression we will use the following property:
[tex]\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}[/tex]Applying the property we get:
[tex]\frac{3}{10}\div\frac{8}{5}=\frac{3}{10}\times\frac{5}{8}[/tex]Solving the products:
[tex]\frac{3}{10}\times\frac{5}{8}=\frac{15}{80}[/tex]Simplifying we get:
[tex]\frac{15}{80}=\frac{3}{16}[/tex]Therefore, the expression is equal to 3/16
