999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction - solution and the full explanation with calculations.
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What is 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction?
To write 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction you have to write 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 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.
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 = 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999/1 = 1.0E+151/10 = 1.0E+152/100 = 1.0E+153/1000 = 1.0E+154/10000 = 1.0E+155/100000 = 1.0E+156/1000000 = 1.0E+157/10000000 = 1.0E+158/100000000 = 1.0E+159/1000000000 = 1.0E+160/10000000000 = 1.0E+161/100000000000 = 1.0E+162/1000000000000 = 1.0E+163/10000000000000 = 1.0E+164/100000000000000 = 1.0E+165/1000000000000000 = 1.0E+166/10000000000000000 = 1.0E+167/100000000000000000 = 1.0E+168/1000000000000000000 = 1.0E+169/1.0E+19 = 1.0E+170/1.0E+20 = 1.0E+171/1.0E+21 = 1.0E+172/1.0E+22 = 1.0E+173/1.0E+23 = 1.0E+174/1.0E+24 = 1.0E+175/1.0E+25 = 1.0E+176/1.0E+26 = 1.0E+177/1.0E+27 = 1.0E+178/1.0E+28 = 1.0E+179/1.0E+29 = 1.0E+180/1.0E+30 = 1.0E+181/1.0E+31 = 1.0E+182/1.0E+32 = 1.0E+183/1.0E+33 = 1.0E+184/1.0E+34 = 1.0E+185/1.0E+35 = 1.0E+186/1.0E+36 = 1.0E+187/1.0E+37 = 1.0E+188/1.0E+38 = 1.0E+189/1.0E+39 = 1.0E+190/1.0E+40 = 1.0E+191/1.0E+41 = 1.0E+192/1.0E+42 = 1.0E+193/1.0E+43 = 1.0E+194/1.0E+44 = 1.0E+195/1.0E+45 = 1.0E+196/1.0E+46 = 1.0E+197/1.0E+47 = 1.0E+198/1.0E+48 = 1.0E+199/1.0E+49 = 1.0E+200/1.0E+50 = 1.0E+201/1.0E+51 = 1.0E+202/1.0E+52 = 1.0E+203/1.0E+53 = 1.0E+204/1.0E+54 = 1.0E+205/1.0E+55 = 1.0E+206/1.0E+56 = 1.0E+207/1.0E+57 = 1.0E+208/1.0E+58 = 1.0E+209/1.0E+59 = 1.0E+210/1.0E+60 = 1.0E+211/1.0E+61 = 1.0E+212/1.0E+62 = 1.0E+213/1.0E+63 = 1.0E+214/1.0E+64 = 1.0E+215/1.0E+65 = 1.0E+216/1.0E+66 = 1.0E+217/1.0E+67 = 1.0E+218/1.0E+68 = 1.0E+219/1.0E+69 = 1.0E+220/1.0E+70 = 1.0E+221/1.0E+71 = 1.0E+222/1.0E+72 = 1.0E+223/1.0E+73 = 1.0E+224/1.0E+74 = 1.0E+225/1.0E+75 = 1.0E+226/1.0E+76 = 1.0E+227/1.0E+77 = 1.0E+228/1.0E+78 = 1.0E+229/1.0E+79 = 1.0E+230/1.0E+80 = 1.0E+231/1.0E+81 = 1.0E+232/1.0E+82 = 1.0E+233/1.0E+83 = 1.0E+234/1.0E+84 = 1.0E+235/1.0E+85 = 1.0E+236/1.0E+86 = 1.0E+237/1.0E+87 = 1.0E+238/1.0E+88 = 1.0E+239/1.0E+89 = 1.0E+240/1.0E+90 = 1.0E+241/1.0E+91 = 1.0E+242/1.0E+92 = 1.0E+243/1.0E+93 = 1.0E+244/1.0E+94 = 1.0E+245/1.0E+95 = 1.0E+246/1.0E+96 = 1.0E+247/1.0E+97 = 1.0E+248/1.0E+98 = 1.0E+249/1.0E+99
And finally we have:
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 as a fraction equals 1.0E+249/1.0E+99
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