.0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505 as a fraction

.0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505 as a fraction - solution and the full explanation with calculations.

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What is .0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505 as a fraction?


To write .0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505 as a fraction you have to write .0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505 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.
.0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505 = .0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505/1 = 0.50505050505051/10 = 5.0505050505051/100 = 50.505050505051/1000 = 505.05050505051/10000 = 5050.5050505051/100000 = 50505.050505051/1000000 = 505050.50505051/10000000 = 5050505.0505051/100000000 = 50505050.505051/1000000000 = 505050505.05051/10000000000 = 5050505050.5051/100000000000 = 50505050505.051/1000000000000 = 505050505050.51/10000000000000 = 5050505050505.1/100000000000000 = 50505050505051/1000000000000000

And finally we have:
.0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505 as a fraction equals 50505050505051/1000000000000000

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