How do you convert 0.13 (13 repeating) to a fraction?
1 Answer
May 12, 2016
Explanation:
First some notation:
Just in case you might not have met it, drawing a bar above a group of digits means that that sequence of digits repeats, so we can write:
#0.131313... = 0.bar(13)#
Multiply by
#(100-1) 0.bar(13) = (100*0.bar(13)) - (1*0.bar(13)) = 13.bar(13)-0.bar(13) = 13#
Then divide both ends by
#0.bar(13) = 13/(100-1) = 13/99#
Why
The multiplier