SOLUTION: Express the following repeating decimal as a fraction in the lowest term.
______
0.123
Algebra.Com
Question 368685: Express the following repeating decimal as a fraction in the lowest term.
______
0.123
Answer by neatmath(302) (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!
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