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Answer:
6/11
Step-by-step explanation:
let r be 0.54545454
multiply both sides by ten
10r = 5.4545454
since after the decimal point the digits between r and 10r are nor equal, we multiply again both sides by ten
100r = 54.54545454
since the digits after the decimal point between r and 100r are equal, we subtract the two
100r - r = 54.54545454 - 0.54545454
99r = 54
divide both side by 99
99r/99 = 54/99
through further simplification
r = 6/11