32/3-22/3×14/3/5/3

asked by guest
on Nov 14, 2024 at 9:42 pm



You asked:

Evaluate the expression: \(\frac{32}{3} - \frac{\frac{\frac{\frac{22}{3} \cdot 14}{3}}{5}}{3}\)

MathBot Answer:

\[\frac{32}{3} - \frac{\frac{\frac{\frac{22}{3} \cdot 14}{3}}{5}}{3} = \frac{1132}{135} = 8.3\overline{851}\]


\[\begin{aligned}\frac{32}{3} - \frac{\frac{\frac{\frac{22}{3} \cdot 14}{3}}{5}}{3}& = \frac{32}{3} - \frac{22}{3} \cdot \frac{14}{3} \cdot \frac{1}{5} \cdot \frac{1}{3}\\& = \frac{32}{3} - \frac{22}{3} \cdot \frac{14}{3} \cdot \frac{1}{15}\\& = \frac{32}{3} - \frac{308}{3} \cdot \frac{1}{3} \cdot \frac{1}{15}\\& = \frac{32}{3} - \frac{308}{9} \cdot \frac{1}{15}\\& = \frac{32}{3} - \frac{308}{135}\\& = \frac{1132}{135}\end{aligned}\]