A classmate says that 0.285714 (all the numbers have the repeating bar over them) is not a rational number because it does not terminate. Explain her error.
Since [tex]\frac{2}{7} = 0.\overline{285614}[/tex], where the "285614" portion repeats forever, this means that we can write [tex]0.\overline{285614}[/tex] as a ratio of two whole numbers. So [tex]0.\overline{285614}[/tex] is a rational number
