Question

Which is 0.ModifyingAbove 54 with bar converted to a simplified fraction?

Answer 1

Answer:

  6/11

Step-by-step explanation:

To convert a repeating decimal to a fraction, multiply the number by 10^n, where n is the number of repeated digits. Then subtract the original number, and put that result over the denominator 10^n -1.

Here, that means you will have ...

  $x=0.\overline{54}\\\\100x=54.\overline{54}\qquad\text{n=2: 10^2=100 }\\\\100x-x=54.\overline{54}-0.\overline{54}\\\\99x=54\\\\x=\dfrac{54}{99}\\\\\boxed{x=\dfrac{6}{11}}$

Answer 2

Answer:

C.) 6/11

Step-by-step explanation: