+2653 Express 0.\overline{2123} as a base 10 fraction in reduced form.
+1926 We want to convert \( 0.\overline{2123} \) into a fraction, and we can do this with a very handy trick.
First, let's set x as \( 0.\overline{2123} \).
This means that \(10000x=2123.\overline{2123}\)
Doing subtracting x from 10000x, we have
\(10000x-x= 2123.\overline{2123}-0.\overline{2123}\\ 9999x=2123 x=2123/9999\\ x=193/909\)
So our final answer is \(\frac{192}{909}\)
Thanks! :)
