4/5÷1/6+1/3×1 1/2
You asked:
Evaluate the expression: \(\frac{\frac{\frac{4}{5}}{1}}{6} + \frac{1}{3} \cdot 1\frac{1}{2}\)
MathBot Answer:
\[\frac{\frac{\frac{4}{5}}{1}}{6} + \frac{1}{3} \cdot 1\frac{1}{2} = \frac{19}{30} = 0.6\overline{3}\]
\[\begin{aligned}\frac{\frac{\frac{4}{5}}{1}}{6} + \frac{1}{3} \cdot 1\frac{1}{2}& = \frac{4}{5} \cdot 1^{-1} \cdot \frac{1}{6} + \frac{1}{3} \cdot 1\frac{1}{2}\\& = \frac{4}{5} \cdot \frac{1}{6} + \frac{1}{3} \cdot 1\frac{1}{2}\\& = \frac{2}{15} + \frac{1}{3} \cdot 1\frac{1}{2}\\& = \frac{2}{15} + \frac{1}{2}\\& = \frac{19}{30}\end{aligned}\]