999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777

999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777

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What is 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777777777777777777776666666666666666666666666665555555555555555555555444444444444444444444433333333333333333322222222222222111111111111111100000000000000000000 as a fraction?


To write 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777777777777777777776666666666666666666666666665555555555555555555555444444444444444444444433333333333333333322222222222222111111111111111100000000000000000000 as a fraction you have to write 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777777777777777777776666666666666666666666666665555555555555555555555444444444444444444444433333333333333333322222222222222111111111111111100000000000000000000 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.
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777777777777777777776666666666666666666666666665555555555555555555555444444444444444444444433333333333333333322222222222222111111111111111100000000000000000000 = 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777777777777777777776666666666666666666666666665555555555555555555555444444444444444444444433333333333333333322222222222222111111111111111100000000000000000000/1 = INF/10

And finally we have:
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887777777777777777777777777777776666666666666666666666666665555555555555555555555444444444444444444444433333333333333333322222222222222111111111111111100000000000000000000 as a fraction equals INF/10

See similar equations:

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