How do you convert 0.735 (735 repeating) to a fraction?

1 Answer
George C.
Mar 1, 2016

0.bar(735) = 735/999 = 245/333

Explanation:

(1000-1)(0.bar(735)) = 735.bar(735) - 0.bar(735) = 735

So:

0.bar(735) = 735/(1000-1) = 735/999 = (color(red)(cancel(color(black)(3)))*245)/(color(red)(cancel(color(black)(3)))*333) = 245/333

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