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Convert 0.031\overline{4}$ to a fraction in simplest form.

 Jun 11, 2024
 #1
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\(x = 0.031\overline{4}\)

\(1000x = 31.\overline{4}\)

\(1000x = 31 \frac{4}{9}\)

\(1000x = \frac{283}{9}\)

\(\mathbf{x = \frac{283}{9000}}\)

 

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

 Jun 11, 2024

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