@iGreen @AnswerMyQuestions @lordhelix8th What is 0.36 repeating expressed as the quotient of two integers in simplest form?
Answer must be in the form of a fraction.

Question

@iGreen @AnswerMyQuestions @lordhelix8th What is 0.36 repeating expressed as the quotient of two integers in simplest form?
Answer must be in the form of a fraction.

rational · Answer

what is repeating ? 6 or 36 ?

cheesecakekitten · Answer

36

cheesecakekitten · Answer

???

phi · Answer

what is 36.3636...  - 0.3636... ?

cheesecakekitten · Answer

36

phi · Answer

ok, and (fixing a typo)
I said x = 0.3636...
and 100x = 36.3636
so
100 x - x = 36.36... - 0.36...
or
100 x -x = 36

100 x's take away 1 x is 99x
99x = 36

phi · Answer

can you "solve for x" ?

phi · Answer

I would divide by 99 on both sides

cheesecakekitten · Answer

well @iGreen @AnswerMyQuestions?

anonymous · Answer

36 is the answer.

igreen · Answer

?

Follow @phi 's instructions. They are excellent

anonymous · Answer

^^

phi · Answer

are you saying you can't divide by 99  on both sides?
99x = 36

cheesecakekitten · Answer

@sonic400539 hi, and the answer has to be a fraction. not a whole number

cheesecakekitten · Answer

i can i think

igreen · Answer

Divide 99 to both sides and keep it as a fraction, don't simplify to a decimal.

cheesecakekitten · Answer

ok

cheesecakekitten · Answer

ok, i can't do this. I got  1 / 363636

cheesecakekitten · Answer

ok so that equals 1x?

phi · Answer

$$ \frac{99x}{99} =\frac{36}{99} $$

phi · Answer

yes, 99/99 is 1  and 1x is just x

phi · Answer

remember we said x= 0.3636... way up top
so if x =  0.3636... 
and x = 36/99
then
0.3636... = 36/99

notice we can simplify 36/99  (divide top and bottom by 9)

kaley246 · Answer

Decide if the statement is always, sometimes, or never true.
The graph of a quadratic equation is a straight line.
(Points : 4)  
       always
        sometimes
        never