2/3 * 12/5 / 20/7=
You asked:
Evaluate the expression: \(\frac{\frac{\frac{\frac{2}{3} \cdot 12}{5}}{20}}{7}\)
MathBot Answer:
\[\frac{\frac{\frac{\frac{2}{3} \cdot 12}{5}}{20}}{7} = \frac{2}{175} = 0.01\overline{142857}\]
\[\begin{aligned}\frac{\frac{\frac{\frac{2}{3} \cdot 12}{5}}{20}}{7}& = \frac{2}{3} \cdot \frac{12}{5} \cdot \frac{1}{20} \cdot \frac{1}{7}\\& = \frac{2}{3} \cdot \frac{12}{5} \cdot \frac{1}{140}\\& = \frac{8}{5} \cdot \frac{1}{140}\\& = \frac{2}{175}\end{aligned}\]