Convert 0.031\overline{4}$ to a fraction in simplest form.
\(x = 0.031\overline{4}\)
\(1000x = 31.\overline{4}\)
\(1000x = 31 \frac{4}{9}\)
\(1000x = \frac{283}{9}\)
\(\mathbf{x = \frac{283}{9000}}\)
Therefore, \(\mathbf{0.031\overline{4} = \frac{283}{9000}}\)
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