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 \(\frac{2}{7} = 0.\overline{285614}\), where the "285614" portion repeats forever, this means that we can write \(0.\overline{285614}\) as a ratio of two whole numbers. So \(0.\overline{285614}\) is a rational number