SOLUTION: Express the following repeating decimal as a fraction in the lowest term. ______ 0.123

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Question 368685: Express the following repeating decimal as a fraction in the lowest term.
______
0.123
Answer by neatmath(300) About Me  (Show Source):
You can put this solution on YOUR website!
We have the repeating number 0.123123123123...

Let n be our number.

n=0.123123123...

1000n=123.123123123...

And then we can subtract the first number from the second number to "cancel" out the repeating decimals!

We would end up with

999n=123

Then just solve for n!

n=123/999 or simplifying the fraction, we have:

n=41/333

I hope this helps!