Decimals

$x = 0.031\overline{4}$

$1000x = 31.\overline{4}$

$1000x = 31 \frac{4}{9}$

$1000x = \frac{283}{9}$

$\mathbf{x = \frac{283}{9000}}$

Therefore, $\mathbf{0.031\overline{4} = \frac{283}{9000}}$