1.6 divided by 2 2/5 =
You asked:
Evaluate the expression: \(\frac{1.6}{2\frac{2}{5}}\)
MathBot Answer:
\[\frac{1.6}{2\frac{2}{5}} = \frac{2}{3} = 0.\overline{6}\]
\[\begin{aligned}\frac{1.6}{2\frac{2}{5}}& = \left(1 + \frac{6}{10}\right) \cdot \frac{1}{2\frac{2}{5}}\\& = \left(1 + \frac{3}{5}\right) \cdot \frac{1}{2\frac{2}{5}}\\& = \frac{8}{5} \cdot \frac{1}{2\frac{2}{5}}\\& = \frac{2}{3}\end{aligned}\]