0.101100110001100001 as a fraction

0.101100110001100001 as a fraction - solution and the full explanation with calculations.

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What is 0.101100110001100001 as a fraction?


To write 0.101100110001100001 as a fraction you have to write 0.101100110001100001 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.
0.101100110001100001 = 0.101100110001100001/1 = 1.011001100011/10 = 10.11001100011/100 = 101.1001100011/1000 = 1011.001100011/10000 = 10110.01100011/100000 = 101100.1100011/1000000 = 1011001.100011/10000000 = 10110011.00011/100000000 = 101100110.0011/1000000000 = 1011001100.011/10000000000 = 10110011000.11/100000000000 = 101100110001.1/1000000000000 = 1011001100011/10000000000000

And finally we have:
0.101100110001100001 as a fraction equals 1011001100011/10000000000000

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