What is .111111111111 converted into a fraction?

Answer 1

To convert the repeating decimal .111111111111 to a fraction, we can use the formula for infinite geometric series. Let x = .1111111111111, then 1000x = 111.1111111111. Subtracting the two equations gives 999x = 111, so x = 111/999. Simplifying the fraction gives x = 1/9. Therefore, .111111111111 as a fraction is 1/9.

Answer 2

.111111111111 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, since it is a decimal fraction, there is not another simpler decimal form. Its equivalent, in rational form, is 111111111111/ 1000000000000. This rational expression cannot be simplified.

Answer 3

1/9