Oh, isn't that just a happy little number! 1.09 repeating is the same as 1 and 9/11. You see, we take the repeating part, which is 09, and put it over 99 because there are two digits repeating. Just like that, you've turned a decimal into a lovely fraction!
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The number 1.09 repeating can be represented as 1.099999... in decimal form. To convert this to a fraction, we can set x = 1.099999... and multiply by 10 to shift the decimal point: 10x = 10.999999... Subtracting the original equation from the new one eliminates the repeating decimal: 10x - x = 10.999999... - 1.099999... This simplifies to 9x = 9, so x = 1. Therefore, 1.09 repeating as a fraction is 1 and 9/90, which simplifies to 1 and 1/10.
The answer depends on what string is repeating. It is not clear from the question whether the recurring fraction meant to be 1.090909... or 1.099999...
what is 0.194 as a repeating fraction
12/11 would be the lowest possible fraction if it a repeating tail doesn't matter as 12/11 = 1.09090909.... Other than that the closest exact answer is simply 109/100.
If you mean: 0.151515.....repeating then as a fraction it is 5/33
109% = 109/100 or 1.09
0.13333333 repeating in fraction = 12/90 or 2/15