666666666666666666666666666677777777777777777777777788888888888888888888888888999999999999999999999999999911111111111111111111112222222222222222222223333333333333333333333334444444444444444444444444444445555555555555555555555666666666666666666666666666777

666666666666666666666666666677777777777777777777777788888888888888888888888888999999999999999999999999999911111111111111111111112222222222222222222223333333333333333333333334444444444444444444444444444445555555555555555555555666666666666666666666666666777

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What is 6666666666666666666666666666777777777777777777777777888888888888888888888888889999999999999999999999999999111111111111111111111122222222222222222222233333333333333333333333344444444444444444444444444444455555555555555555555556666666666666666666666666667777777777777777777777777788888888888888888888888888888888999999999999999999999999999101010101010101010101010111111111111111111111111212121212121212113131313133114141414144141515151515151551161616166616171717171717177181818181818191919191919219191922020020202020202020202002020.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction?


To write 6666666666666666666666666666777777777777777777777777888888888888888888888888889999999999999999999999999999111111111111111111111122222222222222222222233333333333333333333333344444444444444444444444444444455555555555555555555556666666666666666666666666667777777777777777777777777788888888888888888888888888888888999999999999999999999999999101010101010101010101010111111111111111111111111212121212121212113131313133114141414144141515151515151551161616166616171717171717177181818181818191919191919219191922020020202020202020202002020.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction you have to write 6666666666666666666666666666777777777777777777777777888888888888888888888888889999999999999999999999999999111111111111111111111122222222222222222222233333333333333333333333344444444444444444444444444444455555555555555555555556666666666666666666666666667777777777777777777777777788888888888888888888888888888888999999999999999999999999999101010101010101010101010111111111111111111111111212121212121212113131313133114141414144141515151515151551161616166616171717171717177181818181818191919191919219191922020020202020202020202002020.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 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.
6666666666666666666666666666777777777777777777777777888888888888888888888888889999999999999999999999999999111111111111111111111122222222222222222222233333333333333333333333344444444444444444444444444444455555555555555555555556666666666666666666666666667777777777777777777777777788888888888888888888888888888888999999999999999999999999999101010101010101010101010111111111111111111111111212121212121212113131313133114141414144141515151515151551161616166616171717171717177181818181818191919191919219191922020020202020202020202002020.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 = 6666666666666666666666666666777777777777777777777777888888888888888888888888889999999999999999999999999999111111111111111111111122222222222222222222233333333333333333333333344444444444444444444444444444455555555555555555555556666666666666666666666666667777777777777777777777777788888888888888888888888888888888999999999999999999999999999101010101010101010101010111111111111111111111111212121212121212113131313133114141414144141515151515151551161616166616171717171717177181818181818191919191919219191922020020202020202020202002020.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999/1 = INF/10

And finally we have:
6666666666666666666666666666777777777777777777777777888888888888888888888888889999999999999999999999999999111111111111111111111122222222222222222222233333333333333333333333344444444444444444444444444444455555555555555555555556666666666666666666666666667777777777777777777777777788888888888888888888888888888888999999999999999999999999999101010101010101010101010111111111111111111111111212121212121212113131313133114141414144141515151515151551161616166616171717171717177181818181818191919191919219191922020020202020202020202002020.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction equals INF/10

See similar equations:

| .99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 | | 6.18181818181818181818 as a fraction | | .1600000088789 as a fraction | | .010101010109 as a decimal | | 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | | 4789/29 as a percent | | 0.5/12 as a fraction | | 1.00016 as a fraction | | 3.83333333334 as a fraction | | 2.3809 as a percent | | 22.5/33 as a decimal | | 75.95 as a decimal | | 909090901 as a fraction | | 1/789 as a decimal | | 57.65 as a percent | | 5.1851851 as a fraction | | 5.1851852 as a decimal | | .58536585 as a fraction | | 441/8000 as a decimal | | .5742857 as a fraction | | 26.440 as a decimal | | 636/8000 as a decimal | | 0.43355 as a fraction | | 1028/10 as a decimal | | 0.00517 as a percent | | 1001/3000 as a decimal | | 18.7777777 as a decimal | | 0.19999999999999999999999999999999999999999999999999999999999 as a fraction | | 0.5353535 as a fraction | | 16.0125 as a fraction | | 0.366666666666666 as a decimal | | 2.181818181812 as a fraction |

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