22/7x2.1x20.11

asked by guest
on Jan 15, 2025 at 5:44 pm



You asked:

Evaluate the expression: \(\frac{22}{7} \cdot 2.1 \cdot 20.11\)

MathBot Answer:

\[\frac{22}{7} \cdot 2.1 \cdot 20.11 = \frac{66363}{500} = 132.726\]


\[\begin{aligned}\frac{22}{7} \cdot 2.1 \cdot 20.11& = \frac{22}{7} \cdot \left(2 + \frac{1}{10}\right) \cdot \left(20 + \frac{11}{100}\right)\\& = \frac{22}{7} \cdot \frac{21}{10} \cdot \left(20 + \frac{11}{100}\right)\\& = \frac{22}{7} \cdot \frac{21}{10} \cdot \frac{2011}{100}\\& = \frac{33}{5} \cdot \frac{2011}{100}\\& = \frac{66363}{500}\end{aligned}\]