5.2 divided by 2 2/5 =
You asked:
Evaluate the expression: \(\frac{5.2}{2\frac{2}{5}}\)
MathBot Answer:
\[\frac{5.2}{2\frac{2}{5}} = \frac{13}{6} = 2.1\overline{6}\]
\[\begin{aligned}\frac{5.2}{2\frac{2}{5}}& = \left(5 + \frac{2}{10}\right) \cdot \frac{1}{2\frac{2}{5}}\\& = \left(5 + \frac{1}{5}\right) \cdot \frac{1}{2\frac{2}{5}}\\& = \frac{26}{5} \cdot \frac{1}{2\frac{2}{5}}\\& = \frac{13}{6}\end{aligned}\]