How do you convert 0.123 (123 repeating) to a fraction?
1 Answer
May 2, 2016
Explanation:
I will use the bar notation to indicate the repeating digits.
First multiply by
#(1000-1)*0.bar(123) = 123.bar(123) - 0.bar(123) = 123#
Then divide both sides by
#0.bar(123) = 123/(1000-1) = 123/(999) = (41*color(red)(cancel(color(black)(3))))/(333*color(red)(cancel(color(black)(3)))) = 41/333#