How do you convert 0.1624 (24 being repeated) to a fraction?
1 Answer
Mar 10, 2016
#0.16bar(24) = 134/825#
Explanation:
Multiply by
#(10000-100)*0.16bar(24) = 1624.bar(24) - 16.bar(24) = 1608#
Then divide both sides by
#0.16bar(24) = 1608/(10000-100) = 1608/9900 = (color(red)(cancel(color(black)(12)))*134)/(color(red)(cancel(color(black)(12)))*825) = 134/825#