How do you convert 0.63 (63 being repeated) to a fraction?
1 Answer
Mar 16, 2016
Explanation:
We let 0.63 (63 being repeated) be
#x = 0.6363...#
Since
#100x = 63.6363...#
Next, we subtract them.
#100x - x = 63.6363... - 0.6363...#
#99x = 63#
The recurring digits '63' cancel off and the result is that
Lastly, we divide both sides by 99 to get
#x = 63/99#
#= 7/11#
Therefore,
#0.6363... = 7/11#