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moser90

  • 3 years ago

Express the repeating decimal number as a quotient of two integers

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  1. moser90
    • 3 years ago
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    |dw:1349106177251:dw|

  2. moser90
    • 3 years ago
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    I know the answer is 317/11 I just can't figure out how to get the answer

  3. klimenkov
    • 3 years ago
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    \(\frac{2853}{99}\)

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

  5. moser90
    • 3 years ago
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    so what am I subtracting

  6. klimenkov
    • 3 years ago
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    x=28.(81) and 100x=2881.(81). The first from the second.

  7. moser90
    • 3 years ago
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    so subtracting 28

  8. moser90
    • 3 years ago
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    and 1

  9. moser90
    • 3 years ago
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    I see how to get 2853 I just don't understand the other side of the equation

  10. klimenkov
    • 3 years ago
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    Can you subtract 2881.(81)-28.(81). You do this to cancel the periond and get an integer.

  11. moser90
    • 3 years ago
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    okay I got it now thank you

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