4/3 × 22/7 × (1/4)³
You asked:
Evaluate the expression: \(\frac{\frac{4}{3} \cdot 22}{7} \cdot {\left( \frac{1}{4} \right)}^{3}\)
MathBot Answer:
\[\frac{\frac{4}{3} \cdot 22}{7} \cdot {\left( \frac{1}{4} \right)}^{3} = \frac{11}{168} = 0.065\overline{476190}\]
\[\begin{aligned}\frac{\frac{4}{3} \cdot 22}{7} \cdot {\left( \frac{1}{4} \right)}^{3}& = \frac{4}{3} \cdot \frac{22}{7} \cdot \left(\frac{1}{4}\right)^{3}\\& = \frac{4}{3} \cdot \frac{22}{7} \cdot \frac{1}{64}\\& = \frac{88}{3} \cdot \frac{1}{7} \cdot \frac{1}{64}\\& = \frac{88}{21} \cdot \frac{1}{64}\\& = \frac{11}{168}\end{aligned}\]