What is 1.09 repeating as a fraction?

Answer 1

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.

Answer 2

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!

Answer 3

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...

Answer 4

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