3/7 - 1/3 divided by 2/9 + 5/6
You asked:
Evaluate the expression: \(\frac{3}{7} - \frac{\frac{1}{3}}{\frac{2}{9}} + \frac{5}{6}\)
MathBot Answer:
\[\frac{3}{7} - \frac{\frac{1}{3}}{\frac{2}{9}} + \frac{5}{6} = - \frac{5}{21} = -0.\overline{238095}\]
\[\begin{aligned}\frac{3}{7} - \frac{\frac{1}{3}}{\frac{2}{9}} + \frac{5}{6}& = \frac{3}{7} - \frac{1}{3} \cdot \frac{1}{\frac{2}{9}} + \frac{5}{6}\\& = \frac{3}{7} - \frac{3}{2} + \frac{5}{6}\\& = - \frac{15}{14} + \frac{5}{6}\\& = - \frac{5}{21}\end{aligned}\]