Question

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

StartFraction 27 Over 50 EndFraction
StartFraction 54 Over 100 EndFraction
StartFraction 6 Over 11 EndFraction
StartFraction 54 Over 99 EndFraction

Answer 1

C.) 6/11

Explanation:

Answer 2

6/11

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=(54)/(99)\\\\\boxed{x=(6)/(11)}`