7/8+1/6 / 2/9

asked by guest
on Jan 11, 2025 at 2:07 pm



You asked:

Evaluate the expression: \(\frac{7}{8} + \frac{\frac{\frac{1}{6}}{2}}{9}\)

MathBot Answer:

\[\frac{7}{8} + \frac{\frac{\frac{1}{6}}{2}}{9} = \frac{191}{216} = 0.884\overline{259}\]


\[\begin{aligned}\frac{7}{8} + \frac{\frac{\frac{1}{6}}{2}}{9}& = \frac{7}{8} + \frac{1}{6} \cdot \frac{1}{2} \cdot \frac{1}{9}\\& = \frac{7}{8} + \frac{1}{6} \cdot \frac{1}{18}\\& = \frac{7}{8} + \frac{1}{108}\\& = \frac{191}{216}\end{aligned}\]