### Instruction: Express $0.\overline{54}$ as a fraction in lowest terms.### Response: I notice that the decimal part of this number is repeating, so I can use a trick to convert it to a fraction.
I let x = 0.\overline{54} and then multiply both sides by 100 to get 100x = 54.\overline{54}.
I subtract x from both sides to eliminate the decimal part on the right, and I get 99x = 54.
I divide both sides by 99 to solve for x, and I get x = 54/99.
I can simplify this fraction by dividing the numerator and denominator by 9, and I get x = 6/11.
This is the fraction in lowest terms that is equivalent to 0.\overline{54}.