5 4/6 - 4 2/3 / 3 2/3
You asked:
Evaluate the expression: \(5\frac{4}{6} - \frac{4\frac{2}{3}}{3\frac{2}{3}}\)
MathBot Answer:
\[5\frac{4}{6} - \frac{4\frac{2}{3}}{3\frac{2}{3}} = \frac{145}{33} = 4.\overline{39}\]
\[\begin{aligned}5\frac{4}{6} - \frac{4\frac{2}{3}}{3\frac{2}{3}}& = 5\frac{4}{6} - 4\frac{2}{3} \cdot \frac{1}{3\frac{2}{3}}\\& = 5\frac{4}{6} - \frac{14}{11}\\& = \frac{145}{33}\end{aligned}\]