.10101010 as a fraction

.10101010 as a fraction - solution and the full explanation with calculations.

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What is .10101010 as a fraction?


To write .10101010 as a fraction you have to write .10101010 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.
.10101010 = .10101010/1 = 1.010101/10 = 10.10101/100 = 101.0101/1000 = 1010.101/10000 = 10101.01/100000 = 101010.1/1000000 = 1010101/10000000

And finally we have:
.10101010 as a fraction equals 1010101/10000000

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