moser90
Express the repeating decimal number as a quotient of two integers



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moser90
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dw:1349106177251:dw

moser90
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I know the answer is 317/11 I just can't figure out how to get the answer

klimenkov
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\(\frac{2853}{99}\)

klimenkov
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Let 28.(81) be x. So 100x=2881.(81). Now substract the first from the second: 99x=2853. Find x.

moser90
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so what am I subtracting

klimenkov
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x=28.(81) and 100x=2881.(81). The first from the second.

moser90
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so subtracting 28

moser90
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and 1

moser90
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I see how to get 2853 I just don't understand the other side of the equation

klimenkov
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Can you subtract 2881.(81)28.(81). You do this to cancel the periond and get an integer.

moser90
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okay I got it now thank you