Convert 8.132132132... to a rational expression in the form of where b ≠ 0.
Please help mathstudent55

Question

Convert 8.132132132... to a rational expression in the form of  where b ≠ 0.
Please help mathstudent55

mathstudent55 · Answer

Wait, you are missing something in your problem that did not get copied.
What form do you need? Is it a/b?

anonymous · Answer

yes

anonymous · Answer

its a/b

mathstudent55 · Answer

Ok. This is how I learned to convert a repeating decimal into a fraction.

mathstudent55 · Answer

First, look at the repeating part.
In your case it's 132132132132... right?

anonymous · Answer

yes

mathstudent55 · Answer

The repeating part has 3 digits. 132

mathstudent55 · Answer

You will need a number that is a 1 followed by as many zeros as the number of repeating digits.
Since you have 3 repeating digits, you need 1 followed by three zeros.
That number is 1000. I'll show you soon where the number 1000 comes in.

anonymous · Answer

okay....

mathstudent55 · Answer

Now call the repeating decimal x:

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