what is 0.69 (repeating line over the 69) expressed as the quotient of two integers in simplest form??

Question

misty1212 · Answer

HI!!

divinesolar · Answer

Im here!

misty1212 · Answer

the real quick answer is 
$$\frac{69}{99}$$ which reduces

divinesolar · Answer

Misty i have this you can handle more important things :). Besides you need an explanation for that.

divinesolar · Answer

Or else that is breaking the code of conduct

misty1212 · Answer

the method is 
$$x=.696969...\
100x=69.696969...$$ subtract the first from the second and get 
$$99x=69$$ making 
$$x=\frac{69}{99}$$

divinesolar · Answer

Hehe my explanation would have been simpler but okay.

misty1212 · Answer

method two is learning how to sum a geometric series

misty1212 · Answer

love to see it

divinesolar · Answer

And by the way it would be over 100 :)

divinesolar · Answer

not 99

misty1212 · Answer

ok now you are wrong

misty1212 · Answer

it is not $.69$ it is $\overline{.69}$

divinesolar · Answer

Oh yeah sorry 99 :)

divinesolar · Answer

Forgot about the repeating line >.<

misty1212 · Answer

sure i got time for one more 
then i have to run

anonymous · Answer

Which number is irrational? 
A. $$\frac{ 1}{ 6 }$$
B. $$\sqrt{17}$$
C. $$\sqrt{49}$$
D. 0.06 (repeated)