0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999

0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999

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What is 0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999291999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction?


To write 0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999291999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction you have to write 0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999291999999999999999999999999999999999999999999999999999999999999999999999999 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999291999999999999999999999999999999999999999999999999999999999999999999999999 = 0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999291999999999999999999999999999999999999999999999999999999999999999999999999/1 = 10/10

And finally we have:
0.9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999291999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction equals 10/10

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