111111111111111111111111111111111111111111111111111111111111111111111111.11111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction - solution and the full explanation with calculations.
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What is 111111111111111111111111111111111111111111111111111111111111111111111111.11111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction?
To write 111111111111111111111111111111111111111111111111111111111111111111111111.11111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction you have to write 111111111111111111111111111111111111111111111111111111111111111111111111.11111111111111111111111111111111111111111111111111111111111111111111111111111 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.
111111111111111111111111111111111111111111111111111111111111111111111111.11111111111111111111111111111111111111111111111111111111111111111111111111111 = 111111111111111111111111111111111111111111111111111111111111111111111111.11111111111111111111111111111111111111111111111111111111111111111111111111111/1 = 1.1111111111111E+72/10 = 1.1111111111111E+73/100 = 1.1111111111111E+74/1000 = 1.1111111111111E+75/10000 = 1.1111111111111E+76/100000 = 1.1111111111111E+77/1000000 = 1.1111111111111E+78/10000000 = 1.1111111111111E+79/100000000 = 1.1111111111111E+80/1000000000 = 1.1111111111111E+81/10000000000 = 1.1111111111111E+82/100000000000 = 1.1111111111111E+83/1000000000000 = 1.1111111111111E+84/10000000000000 = 1.1111111111111E+85/100000000000000 = 1.1111111111111E+86/1000000000000000 = 1.1111111111111E+87/10000000000000000 = 1.1111111111111E+88/100000000000000000 = 1.1111111111111E+89/1000000000000000000 = 1.1111111111111E+90/1.0E+19 = 1.1111111111111E+91/1.0E+20 = 1.1111111111111E+92/1.0E+21 = 1.1111111111111E+93/1.0E+22 = 1.1111111111111E+94/1.0E+23 = 1.1111111111111E+95/1.0E+24 = 1.1111111111111E+96/1.0E+25 = 1.1111111111111E+97/1.0E+26 = 1.1111111111111E+98/1.0E+27 = 1.1111111111111E+99/1.0E+28 = 1.1111111111111E+100/1.0E+29 = 1.1111111111111E+101/1.0E+30 = 1.1111111111111E+102/1.0E+31 = 1.1111111111111E+103/1.0E+32 = 1.1111111111111E+104/1.0E+33 = 1.1111111111111E+105/1.0E+34 = 1.1111111111111E+106/1.0E+35 = 1.1111111111111E+107/1.0E+36 = 1.1111111111111E+108/1.0E+37 = 1.1111111111111E+109/1.0E+38 = 1.1111111111111E+110/1.0E+39 = 1.1111111111111E+111/1.0E+40 = 1.1111111111111E+112/1.0E+41 = 1.1111111111111E+113/1.0E+42 = 1.1111111111111E+114/1.0E+43 = 1.1111111111111E+115/1.0E+44 = 1.1111111111111E+116/1.0E+45 = 1.1111111111111E+117/1.0E+46 = 1.1111111111111E+118/1.0E+47 = 1.1111111111111E+119/1.0E+48 = 1.1111111111111E+120/1.0E+49 = 1.1111111111111E+121/1.0E+50 = 1.1111111111111E+122/1.0E+51 = 1.1111111111111E+123/1.0E+52 = 1.1111111111111E+124/1.0E+53 = 1.1111111111111E+125/1.0E+54 = 1.1111111111111E+126/1.0E+55 = 1.1111111111111E+127/1.0E+56 = 1.1111111111111E+128/1.0E+57 = 1.1111111111111E+129/1.0E+58 = 1.1111111111111E+130/1.0E+59 = 1.1111111111111E+131/1.0E+60 = 1.1111111111111E+132/1.0E+61 = 1.1111111111111E+133/1.0E+62 = 1.1111111111111E+134/1.0E+63 = 1.1111111111111E+135/1.0E+64 = 1.1111111111111E+136/1.0E+65 = 1.1111111111111E+137/1.0E+66 = 1.1111111111111E+138/1.0E+67 = 1.1111111111111E+139/1.0E+68 = 1.1111111111111E+140/1.0E+69 = 1.1111111111111E+141/1.0E+70 = 1.1111111111111E+142/1.0E+71 = 1.1111111111111E+143/1.0E+72 = 1.1111111111111E+144/1.0E+73 = 1.1111111111111E+145/1.0E+74 = 1.1111111111111E+146/1.0E+75 = 1.1111111111111E+147/1.0E+76 = 1.1111111111111E+148/1.0E+77 = 1.1111111111111E+149/1.0E+78 = 1.1111111111111E+150/1.0E+79 = 1.1111111111111E+151/1.0E+80 = 1.1111111111111E+152/1.0E+81 = 1.1111111111111E+153/1.0E+82 = 1.1111111111111E+154/1.0E+83 = 1.1111111111111E+155/1.0E+84 = 1.1111111111111E+156/1.0E+85 = 1.1111111111111E+157/1.0E+86 = 1.1111111111111E+158/1.0E+87 = 1.1111111111111E+159/1.0E+88 = 1.1111111111111E+160/1.0E+89 = 1.1111111111111E+161/1.0E+90 = 1.1111111111111E+162/1.0E+91 = 1.1111111111111E+163/1.0E+92 = 1.1111111111111E+164/1.0E+93 = 1.1111111111111E+165/1.0E+94 = 1.1111111111111E+166/1.0E+95 = 1.1111111111111E+167/1.0E+96 = 1.1111111111111E+168/1.0E+97 = 1.1111111111111E+169/1.0E+98 = 1.1111111111111E+170/1.0E+99
And finally we have:
111111111111111111111111111111111111111111111111111111111111111111111111.11111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction equals 1.1111111111111E+170/1.0E+99
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