Answer
$\frac{5}{7}$
Work Step by Step
Convert the mixed numbers to improper form
$\frac{5}{2} \div \frac{7}{2}$
We can change the division to multiplication by flipping the second fraction
$\frac{5}{2} \times \frac{2}{7}$
$\frac{5}{1} \times \frac{1}{7}$
$\boxed {\frac{5}{7}}$