090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 as a fraction - solution and the full explanation with calculations.
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What is 090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 as a fraction?
To write 090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 as a fraction you have to write 090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 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.
090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 = 090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909/1 = 9.0909090909091E+101/10 = 9.0909090909091E+102/100 = 9.0909090909091E+103/1000 = 9.0909090909091E+104/10000 = 9.0909090909091E+105/100000 = 9.0909090909091E+106/1000000 = 9.0909090909091E+107/10000000 = 9.0909090909091E+108/100000000 = 9.0909090909091E+109/1000000000 = 9.0909090909091E+110/10000000000 = 9.0909090909091E+111/100000000000 = 9.0909090909091E+112/1000000000000 = 9.0909090909091E+113/10000000000000 = 9.0909090909091E+114/100000000000000 = 9.0909090909091E+115/1000000000000000 = 9.0909090909091E+116/10000000000000000 = 9.0909090909091E+117/100000000000000000 = 9.0909090909091E+118/1000000000000000000 = 9.0909090909091E+119/1.0E+19 = 9.0909090909091E+120/1.0E+20 = 9.0909090909091E+121/1.0E+21 = 9.0909090909091E+122/1.0E+22 = 9.0909090909091E+123/1.0E+23 = 9.0909090909091E+124/1.0E+24 = 9.0909090909091E+125/1.0E+25 = 9.0909090909091E+126/1.0E+26 = 9.0909090909091E+127/1.0E+27 = 9.0909090909091E+128/1.0E+28 = 9.0909090909091E+129/1.0E+29 = 9.0909090909091E+130/1.0E+30 = 9.0909090909091E+131/1.0E+31 = 9.0909090909091E+132/1.0E+32 = 9.0909090909091E+133/1.0E+33 = 9.0909090909091E+134/1.0E+34 = 9.0909090909091E+135/1.0E+35 = 9.0909090909091E+136/1.0E+36 = 9.0909090909091E+137/1.0E+37 = 9.0909090909091E+138/1.0E+38 = 9.0909090909091E+139/1.0E+39 = 9.0909090909091E+140/1.0E+40 = 9.0909090909091E+141/1.0E+41 = 9.0909090909091E+142/1.0E+42 = 9.0909090909091E+143/1.0E+43 = 9.0909090909091E+144/1.0E+44 = 9.0909090909091E+145/1.0E+45 = 9.0909090909091E+146/1.0E+46 = 9.0909090909091E+147/1.0E+47 = 9.0909090909091E+148/1.0E+48 = 9.0909090909091E+149/1.0E+49 = 9.0909090909091E+150/1.0E+50 = 9.0909090909091E+151/1.0E+51 = 9.0909090909091E+152/1.0E+52 = 9.0909090909091E+153/1.0E+53 = 9.0909090909091E+154/1.0E+54 = 9.0909090909091E+155/1.0E+55 = 9.0909090909091E+156/1.0E+56 = 9.0909090909091E+157/1.0E+57 = 9.0909090909091E+158/1.0E+58 = 9.0909090909091E+159/1.0E+59 = 9.0909090909091E+160/1.0E+60 = 9.0909090909091E+161/1.0E+61 = 9.0909090909091E+162/1.0E+62 = 9.0909090909091E+163/1.0E+63 = 9.0909090909091E+164/1.0E+64 = 9.0909090909091E+165/1.0E+65 = 9.0909090909091E+166/1.0E+66 = 9.0909090909091E+167/1.0E+67 = 9.0909090909091E+168/1.0E+68 = 9.0909090909091E+169/1.0E+69 = 9.0909090909091E+170/1.0E+70 = 9.0909090909091E+171/1.0E+71 = 9.0909090909091E+172/1.0E+72 = 9.0909090909091E+173/1.0E+73 = 9.0909090909091E+174/1.0E+74 = 9.0909090909091E+175/1.0E+75 = 9.0909090909091E+176/1.0E+76 = 9.0909090909091E+177/1.0E+77 = 9.0909090909091E+178/1.0E+78 = 9.0909090909091E+179/1.0E+79 = 9.0909090909091E+180/1.0E+80 = 9.0909090909091E+181/1.0E+81 = 9.0909090909091E+182/1.0E+82 = 9.0909090909091E+183/1.0E+83 = 9.0909090909091E+184/1.0E+84 = 9.0909090909091E+185/1.0E+85 = 9.0909090909091E+186/1.0E+86 = 9.0909090909091E+187/1.0E+87 = 9.0909090909091E+188/1.0E+88 = 9.0909090909091E+189/1.0E+89 = 9.0909090909091E+190/1.0E+90 = 9.0909090909091E+191/1.0E+91 = 9.0909090909091E+192/1.0E+92 = 9.0909090909091E+193/1.0E+93 = 9.0909090909091E+194/1.0E+94 = 9.0909090909091E+195/1.0E+95 = 9.0909090909091E+196/1.0E+96 = 9.0909090909091E+197/1.0E+97 = 9.0909090909091E+198/1.0E+98 = 9.0909090909091E+199/1.0E+99
And finally we have:
090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 as a fraction equals 9.0909090909091E+199/1.0E+99
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