.101101101101 as a fraction

.101101101101 as a fraction - solution and the full explanation with calculations.

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What is .101101101101 as a fraction?


To write .101101101101 as a fraction you have to write .101101101101 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.
.101101101101 = .101101101101/1 = 1.01101101101/10 = 10.1101101101/100 = 101.101101101/1000 = 1011.01101101/10000 = 10110.1101101/100000 = 101101.101101/1000000 = 1011011.01101/10000000 = 10110110.1101/100000000 = 101101101.101/1000000000 = 1011011011.01/10000000000 = 10110110110.1/100000000000 = 101101101101/1000000000000

And finally we have:
.101101101101 as a fraction equals 101101101101/1000000000000

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