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anonymous

  • 5 years ago

solve the equation.

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  1. anonymous
    • 5 years ago
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    \[6\overline{.2}= p/q\]

  2. anonymous
    • 5 years ago
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    solve for p and q.

  3. anonymous
    • 5 years ago
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    \[6\tfrac{2}{9}=\frac{6\times 9+2}{9}\]

  4. Hero
    • 5 years ago
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    satellite, where's the general approach?

  5. anonymous
    • 5 years ago
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    In an example in my book it tells me to multiply the equation by 10 and then a bunch of other work.

  6. anonymous
    • 5 years ago
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    \[x=\overline{.2}\] \[10x=2.\overline{.2}\] \[9x=2.\overline{.2}-\overline{.2}=2\] \[9x=2\implies x=\frac{2}{9}\]

  7. anonymous
    • 5 years ago
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    So is P=2 and Q=9?

  8. anonymous
    • 5 years ago
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    no you have to add 6

  9. anonymous
    • 5 years ago
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    \[6\tfrac{2}{9}=\frac{6\times 9+2}{9}=\frac{56}{9}\]

  10. anonymous
    • 5 years ago
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    it is easier just to remember that \[\overline{.1}=\frac{1}{9}\] \[\overline{.2}=\frac{2}{9}\] \[\overline{.3}=\frac{3}{9}=\frac{1}{3}\] \[\overline{.4}=\frac{4}{9}\] \[\overline{.5}=\frac{5}{9}\] etc

  11. anonymous
    • 5 years ago
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    so 56/9 is final answer and oh that helps a lot i can never remember those.

  12. anonymous
    • 5 years ago
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    And for my other problems of homework i have the exact same problem except it is 6.25 and then 6.251

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spraguer (Moderator)
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