anonymous
  • anonymous
solve the equation.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[6\overline{.2}= p/q\]
anonymous
  • anonymous
solve for p and q.
anonymous
  • anonymous
\[6\tfrac{2}{9}=\frac{6\times 9+2}{9}\]

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Hero
  • Hero
satellite, where's the general approach?
anonymous
  • anonymous
In an example in my book it tells me to multiply the equation by 10 and then a bunch of other work.
anonymous
  • anonymous
\[x=\overline{.2}\] \[10x=2.\overline{.2}\] \[9x=2.\overline{.2}-\overline{.2}=2\] \[9x=2\implies x=\frac{2}{9}\]
anonymous
  • anonymous
So is P=2 and Q=9?
anonymous
  • anonymous
no you have to add 6
anonymous
  • anonymous
\[6\tfrac{2}{9}=\frac{6\times 9+2}{9}=\frac{56}{9}\]
anonymous
  • anonymous
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
anonymous
  • anonymous
so 56/9 is final answer and oh that helps a lot i can never remember those.
anonymous
  • anonymous
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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