20/21*20/21*20/21

asked by guest
on Oct 21, 2024 at 11:40 am



You asked:

Evaluate the expression: \(\frac{\frac{\frac{20}{21} \cdot 20}{21} \cdot 20}{21}\)

MathBot Answer:

\[\frac{\frac{\frac{20}{21} \cdot 20}{21} \cdot 20}{21} = \frac{8000}{9261} \approx 0.86383759853147608249649065975597\]

\[\begin{aligned}\frac{\frac{\frac{20}{21} \cdot 20}{21} \cdot 20}{21}& = \frac{20}{21} \cdot \frac{20}{21} \cdot \frac{20}{21}\\& = \frac{400}{21} \cdot \frac{1}{21} \cdot \frac{20}{21}\\& = \frac{400}{441} \cdot \frac{20}{21}\\& = \frac{8000}{9261}\end{aligned}\]

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