2÷3×22÷7×105÷20×105

÷20×105÷20

asked by guest
on Nov 19, 2024 at 11:16 am



You asked:

Evaluate the expression: \(\frac{\frac{\frac{\frac{\frac{2}{3} \cdot 22}{7} \cdot 105}{20} \cdot 105}{20} \cdot 105}{20}\)

MathBot Answer:

\[\frac{\frac{\frac{\frac{\frac{2}{3} \cdot 22}{7} \cdot 105}{20} \cdot 105}{20} \cdot 105}{20} = \frac{4851}{16} = 303.1875\]

\[\begin{aligned}\frac{\frac{\frac{\frac{\frac{2}{3} \cdot 22}{7} \cdot 105}{20} \cdot 105}{20} \cdot 105}{20}& = \frac{2}{3} \cdot \frac{22}{7} \cdot \frac{105}{20} \cdot \frac{105}{20} \cdot \frac{105}{20}\\& = \frac{2}{3} \cdot \frac{22}{7} \cdot \frac{105}{20} \cdot \frac{105}{20} \cdot \frac{21}{4}\\& = \frac{44}{3} \cdot \frac{105}{7} \cdot \frac{105}{20} \cdot \frac{1}{20} \cdot \frac{21}{4}\\& = \frac{44}{21} \cdot \frac{105}{20} \cdot \frac{105}{20} \cdot \frac{21}{4}\\& = \frac{220}{20} \cdot \frac{105}{20} \cdot \frac{21}{4}\\& = 11 \cdot \frac{105}{20} \cdot \frac{21}{4}\\& = \frac{1155}{20} \cdot \frac{21}{4}\\& = \frac{231}{4} \cdot \frac{21}{4}\\& = \frac{4851}{16}\end{aligned}\]

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