#### Answer

$\frac{2}{7}$

#### Work Step by Step

$3\frac{1}{2}\ to\ 12\frac{1}{4}$ is
$\frac{3\frac{1}{2}}{12\frac{1}{4}}=\frac{\frac{7}{2}}{\frac{49}{4}}={\frac{7}{2}}\times{\frac{4}{49}}={\frac{/\!\!7}{/\!\!2}}\times{\frac{/\!\!2\times2}{/\!\!7\times7}}=\frac{2}{7}$