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kedua ruas dikali 10.000, get
10.000(x/y) = 2010,201020102010...
kurangi dengan persamaan di atas, get
10.000(x/y) = 2010,2010201020102010...
(x/y) = 0,2010201020102010.....
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9999(x/y) = 2010
x/y = 2010/9999 = 670/3333
diperoleh x = 670 dan y = 3333
shg, nilai x+y = 670 + 3333 = 4003