# How do you convert #0.bar(15)# (15 being repeated) to a fraction?

We then deduct them.

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To convert 0.bar(15) to a fraction:

Let x = 0.bar(15) Then, 100x = 15.bar(15)

Subtract the two equations: (100x - x) = (15.bar(15) - 0.bar(15)) 99x = 15

Divide both sides by 99: x = 15/99

Simplify the fraction: x = 5/33

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