# SOLUTION: I have a homework problem that I unfortunately do not understand how to set up to get the answer. My question is to "express the given repeating decimal as a quotient of integers.

Algebra ->  Algebra  -> Decimal-numbers -> SOLUTION: I have a homework problem that I unfortunately do not understand how to set up to get the answer. My question is to "express the given repeating decimal as a quotient of integers.       Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Decimal numbers, power of 10, rounding Solvers Lessons Answers archive Quiz In Depth

 Question 571505: I have a homework problem that I unfortunately do not understand how to set up to get the answer. My question is to "express the given repeating decimal as a quotient of integers. If possible reduce to lowest terms." It is the repeating decimal 0.71...Found 2 solutions by reviewermath, josmiceli:Answer by reviewermath(518)   (Show Source): You can put this solution on YOUR website!0.717171... = Solution: Let x = 0.717171... multiply both sides by 100 because 2 digits are repeating 100x = 71.717171... Subtract the first equation from the second equation, the result is 99x = 71 x = 71/99 Answer: Answer by josmiceli(9671)   (Show Source): You can put this solution on YOUR website!The number is = .717171 . . . One you learn this, you will never forget it! = 71.717171 . . . = .717171 . . . Looks good on my calculator