0.100100100100100100100100 as a fraction

0.100100100100100100100100 as a fraction - solution and the full explanation with calculations.

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What is 0.100100100100100100100100 as a fraction?


To write 0.100100100100100100100100 as a fraction you have to write 0.100100100100100100100100 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.
0.100100100100100100100100 = 0.100100100100100100100100/1 = 1.001001001001/10 = 10.01001001001/100 = 100.1001001001/1000 = 1001.001001001/10000 = 10010.01001001/100000 = 100100.1001001/1000000 = 1001001.001001/10000000 = 10010010.01001/100000000 = 100100100.1001/1000000000 = 1001001001.001/10000000000 = 10010010010.01/100000000000 = 100100100100.1/1000000000000 = 1001001001001/10000000000000

And finally we have:
0.100100100100100100100100 as a fraction equals 1001001001001/10000000000000

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