(5 4/6 - 4 2/3) / 3 2/3
You asked:
Evaluate the expression: \(\frac{5\frac{4}{6} - 4\frac{2}{3}}{3\frac{2}{3}}\)
MathBot Answer:
\[\frac{5\frac{4}{6} - 4\frac{2}{3}}{3\frac{2}{3}} = \frac{3}{11} = 0.\overline{27}\]
\[\begin{aligned}\frac{5\frac{4}{6} - 4\frac{2}{3}}{3\frac{2}{3}}& = \left(5\frac{4}{6} - \frac{14}{3}\right) \cdot \frac{1}{3\frac{2}{3}}\\& = 1 \cdot \frac{1}{3\frac{2}{3}}\\& = \frac{3}{11}\end{aligned}\]