You may have tried to divide term by term, but this is the incorrect order of operations. Multiply the numerator and denominator by the LCD of all of the terms:

$\displaystyle\frac{{{5}-\frac{{5}}{{{4}{x}}}}}{{\frac{{7}}{{x}}-\frac{{7}}{{{4}{{x}}^{{2}}}}}}\cdot\frac{{{4}{{x}}^{{2}}}}{{{4}{{x}}^{{2}}}}\usepackage{cmbright}\Huge\$

Distribute the $\displaystyle{4}{{x}}^{{2}}\usepackage{cmbright}\Huge\$ and simplify. Then factor the numerator and the denominator and identify any common factors to finish simplifying.