Question

solve the equation.

Answer 1

\[6\overline{.2}= p/q\]

Answer 2

solve for p and q.

Answer 3

\[6\tfrac{2}{9}=\frac{6\times 9+2}{9}\]

Answer 4

satellite, where's the general approach?

Answer 5

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

Answer 6

\[x=\overline{.2}\]
\[10x=2.\overline{.2}\]
\[9x=2.\overline{.2}-\overline{.2}=2\]
\[9x=2\implies x=\frac{2}{9}\]

Answer 7

So is P=2 and Q=9?

Answer 8

no you have to add 6

Answer 9

\[6\tfrac{2}{9}=\frac{6\times 9+2}{9}=\frac{56}{9}\]

Answer 10

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

Answer 11

so 56/9 is final answer and oh that helps a lot i can never remember those.

Answer 12

And for my other problems of homework i have the exact same problem except it is 6.25 and then 6.251