22÷7×10.5÷2×10.5÷2

asked by guest
on Jan 04, 2025 at 5:39 pm



You asked:

Evaluate the expression: \(\frac{\frac{\frac{22}{7} \cdot 10.5}{2} \cdot 10.5}{2}\)

MathBot Answer:

\[\frac{\frac{\frac{22}{7} \cdot 10.5}{2} \cdot 10.5}{2} = \frac{693}{8} = 86.625\]

\[\begin{aligned}\frac{\frac{\frac{22}{7} \cdot 10.5}{2} \cdot 10.5}{2}& = \frac{22}{7} \cdot \left(10 + \frac{5}{10}\right) \cdot \frac{1}{2} \cdot \left(10 + \frac{5}{10}\right) \cdot \frac{1}{2}\\& = \frac{22}{7} \cdot \left(10 + \frac{1}{2}\right) \cdot \frac{1}{2} \cdot \left(10 + \frac{5}{10}\right) \cdot \frac{1}{2}\\& = \frac{22}{7} \cdot \frac{21}{2} \cdot \frac{1}{2} \cdot \left(10 + \frac{5}{10}\right) \cdot \frac{1}{2}\\& = \frac{22}{7} \cdot \frac{21}{2} \cdot \frac{1}{2} \cdot \left(10 + \frac{1}{2}\right) \cdot \frac{1}{2}\\& = \frac{22}{7} \cdot \frac{21}{2} \cdot \frac{1}{2} \cdot \frac{21}{2} \cdot \frac{1}{2}\\& = \frac{22}{7} \cdot \frac{21}{2} \cdot \frac{1}{2} \cdot \frac{21}{4}\\& = \frac{33}{2} \cdot \frac{21}{4}\\& = \frac{693}{8}\end{aligned}\]

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