22/7*(1.5*1.5)*7

asked by guest
on Jan 15, 2025 at 10:51 pm



You asked:

Evaluate the expression: \(\frac{22}{7} \cdot 1.5 \cdot 1.5 \cdot 7\)

MathBot Answer:

\[\frac{22}{7} \cdot 1.5 \cdot 1.5 \cdot 7 = \frac{99}{2} = 49.5\]

\[\begin{aligned}\frac{22}{7} \cdot 1.5 \cdot 1.5 \cdot 7& = \frac{22}{7} \cdot \left(1 + \frac{5}{10}\right) \cdot \left(1 + \frac{5}{10}\right) \cdot 7\\& = \frac{22}{7} \cdot \left(1 + \frac{1}{2}\right) \cdot \left(1 + \frac{5}{10}\right) \cdot 7\\& = \frac{22}{7} \cdot \frac{3}{2} \cdot \left(1 + \frac{5}{10}\right) \cdot 7\\& = \frac{22}{7} \cdot \frac{3}{2} \cdot \left(1 + \frac{1}{2}\right) \cdot 7\\& = \frac{22}{7} \cdot \frac{3}{2} \cdot \frac{3}{2} \cdot 7\\& = \frac{33}{7} \cdot \frac{3}{2} \cdot 7\\& = \frac{99}{14} \cdot 7\\& = \frac{99}{2}\end{aligned}\]

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