6*2/3*3*3/8*3*1/4

asked by guest
on Sep 20, 2024 at 10:29 pm



You asked:

Evaluate the expression: \(\frac{\frac{\frac{6 \cdot 2}{3} \cdot 3 \cdot 3}{8} \cdot 3 \cdot 1}{4}\)

MathBot Answer:

\[\frac{\frac{\frac{6 \cdot 2}{3} \cdot 3 \cdot 3}{8} \cdot 3 \cdot 1}{4} = \frac{27}{8} = 3.375\]

\[\begin{aligned}\frac{\frac{\frac{6 \cdot 2}{3} \cdot 3 \cdot 3}{8} \cdot 3 \cdot 1}{4}& = 6 \cdot \frac{2}{3} \cdot 3 \cdot \frac{3}{8} \cdot 3 \cdot \frac{1}{4}\\& = 6 \cdot \frac{2}{3} \cdot 3 \cdot \frac{3}{8} \cdot \frac{3}{4}\\& = \frac{12}{3} \cdot 3 \cdot \frac{3}{8} \cdot \frac{3}{4}\\& = 4 \cdot 3 \cdot \frac{3}{8} \cdot \frac{3}{4}\\& = 12 \cdot \frac{3}{8} \cdot \frac{3}{4}\\& = \frac{36}{8} \cdot \frac{3}{4}\\& = \frac{9}{2} \cdot \frac{3}{4}\\& = \frac{27}{2} \cdot \frac{1}{4}\\& = \frac{27}{8}\end{aligned}\]

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