Express the repeating decimal number as a quotient of two integers

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Express the repeating decimal number as a quotient of two integers

Mathematics
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I know the answer is 317/11 I just can't figure out how to get the answer
\(\frac{2853}{99}\)

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Other answers:

Let 28.(81) be x. So 100x=2881.(81). Now substract the first from the second: 99x=2853. Find x.
so what am I subtracting
x=28.(81) and 100x=2881.(81). The first from the second.
so subtracting 28
and 1
I see how to get 2853 I just don't understand the other side of the equation
Can you subtract 2881.(81)-28.(81). You do this to cancel the periond and get an integer.
okay I got it now thank you

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