Hi all,

I now that 0.66 repeating is 66/99

But how would you solve a repeating fraction, where the repetition is after a certain decimal; lets say 0.8666 which is actually 13/15

I tried solving it as 0.8 + 0.06 = 0.8 + 6/99

but that equals to 0.8606060 and not 0.866666

0.66 = 66/100, not 66/99

(If you meant 0.\overline{6}, that’s not the same)

Same process:

y = 0.8\overline{6}

10y = 8.\overline{6}

100y = 86.\overline{6}

Subtract the second from the third.

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Thanks