7/8+1/6 / 2/9
You asked:
Evaluate the expression: \(\frac{7}{8} + \frac{\frac{\frac{1}{6}}{2}}{9}\)
MathBot Answer:
\[\frac{7}{8} + \frac{\frac{\frac{1}{6}}{2}}{9} = \frac{191}{216} = 0.884\overline{259}\]
\[\begin{aligned}\frac{7}{8} + \frac{\frac{\frac{1}{6}}{2}}{9}& = \frac{7}{8} + \frac{1}{6} \cdot \frac{1}{2} \cdot \frac{1}{9}\\& = \frac{7}{8} + \frac{1}{6} \cdot \frac{1}{18}\\& = \frac{7}{8} + \frac{1}{108}\\& = \frac{191}{216}\end{aligned}\]