27×1/3×8×6/18/3×2/3

asked by guest
on Sep 19, 2024 at 3:12 pm



You asked:

Evaluate the expression: \(\frac{\frac{\frac{\frac{27 \cdot 1}{3} \cdot 8 \cdot 6}{18}}{3} \cdot 2}{3}\)

MathBot Answer:

\[\frac{\frac{\frac{\frac{27 \cdot 1}{3} \cdot 8 \cdot 6}{18}}{3} \cdot 2}{3} = \frac{16}{3} = 5.\overline{3}\]

\[\begin{aligned}\frac{\frac{\frac{\frac{27 \cdot 1}{3} \cdot 8 \cdot 6}{18}}{3} \cdot 2}{3}& = 27 \cdot \frac{1}{3} \cdot 8 \cdot \frac{6}{18} \cdot \frac{2}{3} \cdot \frac{1}{3}\\& = 27 \cdot \frac{1}{3} \cdot 8 \cdot \frac{6}{18} \cdot \frac{1}{3} \cdot \frac{2}{3}\\& = \frac{27}{3} \cdot 8 \cdot \frac{6}{18} \cdot \frac{1}{3} \cdot \frac{2}{3}\\& = 9 \cdot 8 \cdot \frac{6}{18} \cdot \frac{1}{3} \cdot \frac{2}{3}\\& = 72 \cdot \frac{6}{18} \cdot \frac{1}{3} \cdot \frac{2}{3}\\& = \frac{432}{18} \cdot \frac{1}{3} \cdot \frac{2}{3}\\& = \frac{24}{3} \cdot \frac{2}{3}\\& = 8 \cdot \frac{2}{3}\\& = \frac{16}{3}\end{aligned}\]

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