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.

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(1029) (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(19441) (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

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