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if 0.9 \overline{7} is written as a common fraction a/b, what is the value of a - b?

 Jul 26, 2022
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here is the decimal \(0.9 \overline{7}\)

This is written as \(9\frac{7}{9} \cdot \frac{1}{10}\)

 

which equals to \(\frac{44}{45}\)

 

as the question asks

\(44-45={\boxed{-1}}\)

 Jul 26, 2022

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