What is 0.16666666666 as a fraction?

0.16666 ... = 0.1 + 0.06666 ...

x = 0.06666 ... / · 10

10 x = 0.66666 ...

10 x = 0.6 + 0.6666 ...

10 x = 0.6 + x

9 x = 0.6

x = 0.6/9 = 6/90 = 1/15

0.166666 ... = 0.1 + 1/15 = 1/10 + 1/15 = (2 + 3) / 30 = 5/30 = 1/6

Answer: 0.16666 ... = 1/6

The answer to your Question is 1/6