Final answer:
The decimal expansion of 6/11 is 0.545454..., which is represented as 0.4545... repeating indefinitely, therefore the correct answer is D. 0.4545... .
Step-by-step explanation:
To find the decimal expansion for 6/11, we divide 6 by 11 using long division or a calculator. When we do so, we get a repeating decimal, which is 0.545454.... This decimal repeats the digits 54 indefinitely, so we represent this repeating portion with a bar over the digits or by using ellipses (three dots).
Hence, the correct answer is D. 0.4545..., which indicates the pattern 45 repeats infinitely. Remember that options like C. 0.5411 can be immediately ruled out because the digits after a non-repeating initial sequence do not make sense when considering that 6/11 is a simple fraction and will result in a repeating or terminating decimal.