(11.6)^2/3
You asked:
Evaluate the expression: \(\frac{{11.6}^{2}}{3}\)
MathBot Answer:
\[\frac{{11.6}^{2}}{3} = \frac{3364}{75} = 44.85\overline{3}\]
\[\begin{aligned}\frac{{11.6}^{2}}{3}& = \left(11 + \frac{6}{10}\right)^{2} \cdot \frac{1}{3}\\& = \left(11 + \frac{3}{5}\right)^{2} \cdot \frac{1}{3}\\& = \left(\frac{58}{5}\right)^{2} \cdot \frac{1}{3}\\& = \frac{3364}{25} \cdot \frac{1}{3}\\& = \frac{3364}{75}\end{aligned}\]