6.2 squared divided by 8.64
You asked:
Evaluate the expression: \(\frac{{6.2}^{2}}{8.64}\)
MathBot Answer:
\[\frac{{6.2}^{2}}{8.64} = \frac{961}{216} = 4.449\overline{074}\]
\[\begin{aligned}\frac{{6.2}^{2}}{8.64}& = \left(6 + \frac{2}{10}\right)^{2} \cdot \frac{1}{8 + \frac{64}{100}}\\& = \left(6 + \frac{1}{5}\right)^{2} \cdot \frac{1}{8 + \frac{64}{100}}\\& = \left(\frac{31}{5}\right)^{2} \cdot \frac{1}{8 + \frac{64}{100}}\\& = \frac{961}{25} \cdot \frac{1}{8 + \frac{64}{100}}\\& = \frac{961}{25} \cdot \frac{1}{8 + \frac{16}{25}}\\& = \frac{961}{25} \cdot \frac{1}{\frac{216}{25}}\\& = \frac{961}{216}\end{aligned}\]