Math Problem Solver

\[\frac{100 \cdot 1.09}{12} = \frac{109}{12} = 9.08\overline{3}\]

\[\begin{aligned}\frac{100 \cdot 1.09}{12}& = 100 \cdot \left(1 + \frac{9}{100}\right) \cdot \frac{1}{12}\\& = 100 \cdot \frac{109}{100} \cdot \frac{1}{12}\\& = 100 \cdot \frac{109}{1200}\\& = \frac{109}{12}\end{aligned}\]