.888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 as a fraction

.888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 as a fraction - solution and the full explanation

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What is .888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 as a fraction?


To write .888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 as a fraction you have to write .888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 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.
.888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 = .888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889/1 = 8.8888888888889/10 = 88.888888888889/100 = 888.88888888889/1000 = 8888.8888888889/10000 = 88888.888888889/100000 = 888888.88888889/1000000 = 8888888.8888889/10000000 = 88888888.888889/100000000 = 888888888.88889/1000000000 = 8888888888.8889/10000000000 = 88888888888.889/100000000000 = 888888888888.89/1000000000000 = 8888888888888.9/10000000000000 = 88888888888889/100000000000000

And finally we have:
.888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 as a fraction equals 88888888888889/100000000000000

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