.101010101 as a fraction

.101010101 as a fraction - solution and the full explanation with calculations.

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What is .101010101 as a fraction?


To write .101010101 as a fraction you have to write .101010101 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.
.101010101 = .101010101/1 = 1.01010101/10 = 10.1010101/100 = 101.010101/1000 = 1010.10101/10000 = 10101.0101/100000 = 101010.101/1000000 = 1010101.01/10000000 = 10101010.1/100000000 = 101010101/1000000000

And finally we have:
.101010101 as a fraction equals 101010101/1000000000

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