0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090 as a fraction

0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090 as a fraction - solution and the full explanation with calculations.

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What is 0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090 as a fraction?


To write 0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090 as a fraction you have to write 0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090 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.
0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090 = 0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090/1 = 9.0909090909091/10 = 90.909090909091/100 = 909.09090909091/1000 = 9090.9090909091/10000 = 90909.090909091/100000 = 909090.90909091/1000000 = 9090909.0909091/10000000 = 90909090.909091/100000000 = 909090909.09091/1000000000 = 9090909090.9091/10000000000 = 90909090909.091/100000000000 = 909090909090.91/1000000000000 = 9090909090909.1/10000000000000 = 90909090909091/100000000000000

And finally we have:
0.9090909090909090990909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090 as a fraction equals 90909090909091/100000000000000

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