if 0.9 \overline{7} is written as a common fraction a/b, what is the value of a - b?
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
\(44-45={\boxed{-1}}\)