999999999999999999999999999999999999999555555555555555555555555555555555555555777777777777777777777777777777777777777777778888888888888888888888888884444444444444444444444444499999999999999999999999999992222222222222222222222222222222222222222322222222222

999999999999999999999999999999999999999555555555555555555555555555555555555555777777777777777777777777777777777777777777778888888888888888888888888884444444444444444444444444499999999999999999999999999992222222222222222222222222222222222222222322222222222

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What is 9999999999999999999999999999999999999995555555555555555555555555555555555555557777777777777777777777777777777777777777777788888888888888888888888888844444444444444444444444444999999999999999999999999999922222222222222222222222222222222222222223222222222222222222222.77777777777777777777777777777777777777777788888888888888888888888888888888889999999999999999999999999999999999333333333333333333333 as a fraction?


To write 9999999999999999999999999999999999999995555555555555555555555555555555555555557777777777777777777777777777777777777777777788888888888888888888888888844444444444444444444444444999999999999999999999999999922222222222222222222222222222222222222223222222222222222222222.77777777777777777777777777777777777777777788888888888888888888888888888888889999999999999999999999999999999999333333333333333333333 as a fraction you have to write 9999999999999999999999999999999999999995555555555555555555555555555555555555557777777777777777777777777777777777777777777788888888888888888888888888844444444444444444444444444999999999999999999999999999922222222222222222222222222222222222222223222222222222222222222.77777777777777777777777777777777777777777788888888888888888888888888888888889999999999999999999999999999999999333333333333333333333 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.
9999999999999999999999999999999999999995555555555555555555555555555555555555557777777777777777777777777777777777777777777788888888888888888888888888844444444444444444444444444999999999999999999999999999922222222222222222222222222222222222222223222222222222222222222.77777777777777777777777777777777777777777788888888888888888888888888888888889999999999999999999999999999999999333333333333333333333 = 9999999999999999999999999999999999999995555555555555555555555555555555555555557777777777777777777777777777777777777777777788888888888888888888888888844444444444444444444444444999999999999999999999999999922222222222222222222222222222222222222223222222222222222222222.77777777777777777777777777777777777777777788888888888888888888888888888888889999999999999999999999999999999999333333333333333333333/1 = 1.0E+266/10 = 1.0E+267/100 = 1.0E+268/1000 = 1.0E+269/10000 = 1.0E+270/100000 = 1.0E+271/1000000 = 1.0E+272/10000000 = 1.0E+273/100000000 = 1.0E+274/1000000000 = 1.0E+275/10000000000 = 1.0E+276/100000000000 = 1.0E+277/1000000000000 = 1.0E+278/10000000000000 = 1.0E+279/100000000000000 = 1.0E+280/1000000000000000 = 1.0E+281/10000000000000000 = 1.0E+282/100000000000000000 = 1.0E+283/1000000000000000000 = 1.0E+284/1.0E+19 = 1.0E+285/1.0E+20 = 1.0E+286/1.0E+21 = 1.0E+287/1.0E+22 = 1.0E+288/1.0E+23 = 1.0E+289/1.0E+24 = 1.0E+290/1.0E+25 = 1.0E+291/1.0E+26 = 1.0E+292/1.0E+27 = 1.0E+293/1.0E+28 = 1.0E+294/1.0E+29 = 1.0E+295/1.0E+30 = 1.0E+296/1.0E+31 = 1.0E+297/1.0E+32 = 1.0E+298/1.0E+33 = 1.0E+299/1.0E+34 = 1.0E+300/1.0E+35 = 1.0E+301/1.0E+36 = 1.0E+302/1.0E+37 = 1.0E+303/1.0E+38 = 1.0E+304/1.0E+39 = 1.0E+305/1.0E+40 = 1.0E+306/1.0E+41 = 1.0E+307/1.0E+42 = 1.0E+308/1.0E+43 = INF/1.0E+44

And finally we have:
9999999999999999999999999999999999999995555555555555555555555555555555555555557777777777777777777777777777777777777777777788888888888888888888888888844444444444444444444444444999999999999999999999999999922222222222222222222222222222222222222223222222222222222222222.77777777777777777777777777777777777777777788888888888888888888888888888888889999999999999999999999999999999999333333333333333333333 as a fraction equals INF/1.0E+44

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