.101001001000100001 as a fraction

.101001001000100001 as a fraction - solution and the full explanation with calculations.

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What is .101001001000100001 as a fraction?


To write .101001001000100001 as a fraction you have to write .101001001000100001 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.
.101001001000100001 = .101001001000100001/1 = 1.010010010001/10 = 10.10010010001/100 = 101.0010010001/1000 = 1010.010010001/10000 = 10100.10010001/100000 = 101001.0010001/1000000 = 1010010.010001/10000000 = 10100100.10001/100000000 = 101001001.0001/1000000000 = 1010010010.001/10000000000 = 10100100100.01/100000000000 = 101001001000.1/1000000000000 = 1010010010001/10000000000000

And finally we have:
.101001001000100001 as a fraction equals 1010010010001/10000000000000

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