999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction - solution and the full explan
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What is 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction?
To write 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction you have to write 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 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.
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 = 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999/1 = 1.0E+211/10 = 1.0E+212/100 = 1.0E+213/1000 = 1.0E+214/10000 = 1.0E+215/100000 = 1.0E+216/1000000 = 1.0E+217/10000000 = 1.0E+218/100000000 = 1.0E+219/1000000000 = 1.0E+220/10000000000 = 1.0E+221/100000000000 = 1.0E+222/1000000000000 = 1.0E+223/10000000000000 = 1.0E+224/100000000000000 = 1.0E+225/1000000000000000 = 1.0E+226/10000000000000000 = 1.0E+227/100000000000000000 = 1.0E+228/1000000000000000000 = 1.0E+229/1.0E+19 = 1.0E+230/1.0E+20 = 1.0E+231/1.0E+21 = 1.0E+232/1.0E+22 = 1.0E+233/1.0E+23 = 1.0E+234/1.0E+24 = 1.0E+235/1.0E+25 = 1.0E+236/1.0E+26 = 1.0E+237/1.0E+27 = 1.0E+238/1.0E+28 = 1.0E+239/1.0E+29 = 1.0E+240/1.0E+30 = 1.0E+241/1.0E+31 = 1.0E+242/1.0E+32 = 1.0E+243/1.0E+33 = 1.0E+244/1.0E+34 = 1.0E+245/1.0E+35 = 1.0E+246/1.0E+36 = 1.0E+247/1.0E+37 = 1.0E+248/1.0E+38 = 1.0E+249/1.0E+39 = 1.0E+250/1.0E+40 = 1.0E+251/1.0E+41 = 1.0E+252/1.0E+42 = 1.0E+253/1.0E+43 = 1.0E+254/1.0E+44 = 1.0E+255/1.0E+45 = 1.0E+256/1.0E+46 = 1.0E+257/1.0E+47 = 1.0E+258/1.0E+48 = 1.0E+259/1.0E+49 = 1.0E+260/1.0E+50 = 1.0E+261/1.0E+51 = 1.0E+262/1.0E+52 = 1.0E+263/1.0E+53 = 1.0E+264/1.0E+54 = 1.0E+265/1.0E+55 = 1.0E+266/1.0E+56 = 1.0E+267/1.0E+57 = 1.0E+268/1.0E+58 = 1.0E+269/1.0E+59 = 1.0E+270/1.0E+60 = 1.0E+271/1.0E+61 = 1.0E+272/1.0E+62 = 1.0E+273/1.0E+63 = 1.0E+274/1.0E+64 = 1.0E+275/1.0E+65 = 1.0E+276/1.0E+66 = 1.0E+277/1.0E+67 = 1.0E+278/1.0E+68 = 1.0E+279/1.0E+69 = 1.0E+280/1.0E+70 = 1.0E+281/1.0E+71 = 1.0E+282/1.0E+72 = 1.0E+283/1.0E+73 = 1.0E+284/1.0E+74 = 1.0E+285/1.0E+75 = 1.0E+286/1.0E+76 = 1.0E+287/1.0E+77 = 1.0E+288/1.0E+78 = 1.0E+289/1.0E+79 = 1.0E+290/1.0E+80 = 1.0E+291/1.0E+81 = 1.0E+292/1.0E+82 = 1.0E+293/1.0E+83 = 1.0E+294/1.0E+84 = 1.0E+295/1.0E+85 = 1.0E+296/1.0E+86 = 1.0E+297/1.0E+87 = 1.0E+298/1.0E+88 = 1.0E+299/1.0E+89 = 1.0E+300/1.0E+90 = 1.0E+301/1.0E+91 = 1.0E+302/1.0E+92 = 1.0E+303/1.0E+93 = 1.0E+304/1.0E+94 = 1.0E+305/1.0E+95 = 1.0E+306/1.0E+96 = 1.0E+307/1.0E+97 = 1.0E+308/1.0E+98 = INF/1.0E+99
And finally we have:
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction equals INF/1.0E+99
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