Question

Can you help me convert 8.132132132 to a rational expression in the form of a/b were b = 0

Answer 1

Sure. Let's drop the "8" and find the fraction that matches 0.132... first, then you can put the "8" back in

Answer 2

132/99

Answer 3

Would that be the answer 8 132/99

Answer 4

Sorry, distracted.

Answer 5

Is that the answer

Answer 6

Change it to an improper fraction.

Answer 7

btw how did you get 132/99? That isn't correct at all.

Answer 8

Oh is it 8132/99? that...isn't remotely correct either...

Answer 9

My choices are
A 8 132/99
B 8 132/999
C 8 1321/9999
D 8 999/132

Answer 10

Here is the way that I know how to solve:

For example, pretend we are trying to find a/b for 0.901901901...

It repeats every 3 digits, so multiply by 1 with 3 zeros, or 1000
1000*(a/b) = 901.901901...

now subtract one (a/b) from each side...
1000*(a/b) - (a/b) = (901.901901...) - (0.901901901...)

When you do the math, all the repeating part goes away:
999*(a/b) = 901
so (a/b) = 901/999

Good with the example?

Answer 11

So would it be B

Answer 12

Don't throw out a random letter answer. Show your work.

Answer 13

Don't know. Look at the discussion, you never gave any options.... and what @agent0smith said.

Answer 14

This question is made incredibly easy by it being multiple choice. Plug every option into a calculator until you find the right one?

Answer 15

Ok