0.02/0.682

asked by guest
on Jan 23, 2025 at 8:58 pm



You asked:

Evaluate the expression: \(\frac{0.02}{0.682}\)

MathBot Answer:

\[\frac{0.02}{0.682} = \frac{10}{341} = 0.\overline{029325513196480938416422287390}\]


\[\begin{aligned}\frac{0.02}{0.682}& = \frac{2}{100} \cdot \frac{1}{\frac{682}{1000}}\\& = \frac{2}{100} \cdot \frac{1}{\frac{341}{500}}\\& = 2 \cdot \frac{5}{341}\\& = \frac{10}{341}\end{aligned}\]