ANSWER
[tex]\frac{20}{49}[/tex]
EXPLANATION
Given;
[tex]\frac{5}{14}\div\frac{8}{7}[/tex]
Changing the division sign to multiplication(applying fraction rule), we have;
[tex]\frac{5}{14}\times\frac{8}{7}[/tex]
cross cancel the common factor (2), we have;
[tex]\frac{5}{7}\times\frac{4}{7}[/tex]
In simplest form, this gives us;
[tex]\frac{20}{49}[/tex]
