0101010101010101 as a fraction - solution and the full explanation with calculations.
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What is 0101010101010101 as a fraction?
To write 0101010101010101 as a fraction you have to write 0101010101010101 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.
0101010101010101 = 0101010101010101/1 = 1.010101010101E+15/10 = 1.010101010101E+16/100 = 1.010101010101E+17/1000 = 1.010101010101E+18/10000 = 1.010101010101E+19/100000 = 1.010101010101E+20/1000000 = 1.010101010101E+21/10000000 = 1.010101010101E+22/100000000 = 1.010101010101E+23/1000000000 = 1.010101010101E+24/10000000000 = 1.010101010101E+25/100000000000 = 1.010101010101E+26/1000000000000 = 1.010101010101E+27/10000000000000 = 1.010101010101E+28/100000000000000 = 1.010101010101E+29/1000000000000000 = 1.010101010101E+30/10000000000000000 = 1.010101010101E+31/100000000000000000 = 1.010101010101E+32/1000000000000000000 = 1.010101010101E+33/1.0E+19 = 1.010101010101E+34/1.0E+20 = 1.010101010101E+35/1.0E+21 = 1.010101010101E+36/1.0E+22 = 1.010101010101E+37/1.0E+23 = 1.010101010101E+38/1.0E+24 = 1.010101010101E+39/1.0E+25 = 1.010101010101E+40/1.0E+26 = 1.010101010101E+41/1.0E+27 = 1.010101010101E+42/1.0E+28 = 1.010101010101E+43/1.0E+29 = 1.010101010101E+44/1.0E+30 = 1.010101010101E+45/1.0E+31 = 1.010101010101E+46/1.0E+32 = 1.010101010101E+47/1.0E+33 = 1.010101010101E+48/1.0E+34 = 1.010101010101E+49/1.0E+35 = 1.010101010101E+50/1.0E+36 = 1.010101010101E+51/1.0E+37 = 1.010101010101E+52/1.0E+38 = 1.010101010101E+53/1.0E+39 = 1.010101010101E+54/1.0E+40 = 1.010101010101E+55/1.0E+41 = 1.010101010101E+56/1.0E+42 = 1.010101010101E+57/1.0E+43 = 1.010101010101E+58/1.0E+44 = 1.010101010101E+59/1.0E+45 = 1.010101010101E+60/1.0E+46 = 1.010101010101E+61/1.0E+47 = 1.010101010101E+62/1.0E+48 = 1.010101010101E+63/1.0E+49 = 1.010101010101E+64/1.0E+50 = 1.010101010101E+65/1.0E+51 = 1.010101010101E+66/1.0E+52 = 1.010101010101E+67/1.0E+53 = 1.010101010101E+68/1.0E+54 = 1.010101010101E+69/1.0E+55 = 1.010101010101E+70/1.0E+56 = 1.010101010101E+71/1.0E+57 = 1.010101010101E+72/1.0E+58 = 1.010101010101E+73/1.0E+59 = 1.010101010101E+74/1.0E+60 = 1.010101010101E+75/1.0E+61 = 1.010101010101E+76/1.0E+62 = 1.010101010101E+77/1.0E+63 = 1.010101010101E+78/1.0E+64 = 1.010101010101E+79/1.0E+65 = 1.010101010101E+80/1.0E+66 = 1.010101010101E+81/1.0E+67 = 1.010101010101E+82/1.0E+68 = 1.010101010101E+83/1.0E+69 = 1.010101010101E+84/1.0E+70 = 1.010101010101E+85/1.0E+71 = 1.010101010101E+86/1.0E+72 = 1.010101010101E+87/1.0E+73 = 1.010101010101E+88/1.0E+74 = 1.010101010101E+89/1.0E+75 = 1.010101010101E+90/1.0E+76 = 1.010101010101E+91/1.0E+77 = 1.010101010101E+92/1.0E+78 = 1.010101010101E+93/1.0E+79 = 1.010101010101E+94/1.0E+80 = 1.010101010101E+95/1.0E+81 = 1.010101010101E+96/1.0E+82 = 1.010101010101E+97/1.0E+83 = 1.010101010101E+98/1.0E+84 = 1.010101010101E+99/1.0E+85 = 1.010101010101E+100/1.0E+86 = 1.010101010101E+101/1.0E+87 = 1.010101010101E+102/1.0E+88 = 1.010101010101E+103/1.0E+89 = 1.010101010101E+104/1.0E+90 = 1.010101010101E+105/1.0E+91 = 1.010101010101E+106/1.0E+92 = 1.010101010101E+107/1.0E+93 = 1.010101010101E+108/1.0E+94 = 1.010101010101E+109/1.0E+95 = 1.010101010101E+110/1.0E+96 = 1.010101010101E+111/1.0E+97 = 1.010101010101E+112/1.0E+98 = 1.010101010101E+113/1.0E+99
And finally we have:
0101010101010101 as a fraction equals 1.010101010101E+113/1.0E+99
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