SOLUTION: Express 0.93as a fraction in simplest form.there is a line over the 93.Which makes it a repeating decimal.I done it over and over again.Can you help me?

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Express 0.93as a fraction in simplest form.there is a line over the 93.Which makes it a repeating decimal.I done it over and over again.Can you help me?      Log On

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Question 26568: Express 0.93as a fraction in simplest form.there is a line over the 93.Which makes it a repeating decimal.I done it over and over again.Can you help me?
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Express 0.9393... as a fraction in its simplest form.
Let n = 0.9393... Multiply by 100 (because there 2 repeating digits)
100n = 93.9393... Subtract n from 100n.
100n - n = 99n = 93.9393... - 0.9393... = 93
99n = 93 Divide both sides by 99.
n+=+93%2F99 But n = 0.9393..., so:
0.9393+=+93%2F99 Simplify.
0.9393+=+31%2F33