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

Algebra ->  Algebra  -> Decimal-numbers -> SOLUTION: Express the following repeating decimal as a fraction in the lowest term. ______ 0.123      Log On

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 Question 368685: Express the following repeating decimal as a fraction in the lowest term. ______ 0.123Answer by neatmath(300)   (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!