2/7/4/5*7/9*9/5

asked by guest
on Oct 24, 2024 at 11:24 pm



You asked:

Evaluate the expression: \(\frac{\frac{\frac{\frac{\frac{2}{7}}{4}}{5} \cdot 7}{9} \cdot 9}{5}\)

MathBot Answer:

\[\frac{\frac{\frac{\frac{\frac{2}{7}}{4}}{5} \cdot 7}{9} \cdot 9}{5} = \frac{1}{50} = 0.02\]

\[\begin{aligned}\frac{\frac{\frac{\frac{\frac{2}{7}}{4}}{5} \cdot 7}{9} \cdot 9}{5}& = \frac{2}{7} \cdot \frac{1}{4} \cdot \frac{7}{5} \cdot \frac{9}{9} \cdot \frac{1}{5}\\& = \frac{2}{7} \cdot \frac{1}{4} \cdot \frac{7}{5} \cdot \frac{1}{9} \cdot \frac{9}{5}\\& = \frac{1}{14} \cdot \frac{7}{5} \cdot \frac{1}{9} \cdot \frac{9}{5}\\& = \frac{7}{70} \cdot \frac{1}{9} \cdot \frac{9}{5}\\& = \frac{1}{10} \cdot \frac{1}{9} \cdot \frac{9}{5}\\& = \frac{1}{90} \cdot \frac{9}{5}\\& = \frac{1}{50}\end{aligned}\]

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