answer: 2/ 33
x = .06060606…
you want to get one part of the repetition on the left of the decimal point. so you’re going to move the decimal point to the right twice, multiplying x by 100 to keep both sides of the equation equal.
put the regular equation under it as well & subtract the two
100x = 06.060606…
x = 00.060606…
you get an answer of: 99x = 6
now divide 6 by 99 and simplify each side by the common factor of 3
x = 6/ 99
x = 2/ 33