Answer
$\frac{2}{7}$
Work Step by Step
3$\frac{1}{2}$ to 5$\frac{1}{4}$
3$\frac{1}{2}$ $\div$ 5$\frac{1}{4}$
=$\frac{3\times2+1}{2}$ $\div$ $\frac{5\times4+1}{4}$
=$\frac{6+1}{2}$ $\div$ $\frac{20+1}{4}$
=$\frac{7}{2}$ $\div$ $\frac{21}{4}$
=$\frac{7}{2}$ $\times$ $\frac{4}{21}$
=$\frac{7\times4}{2\times21}$
=$\frac{7\times2\times2}{2\times3\times7}$ = $\frac{2}{7}$