N / 91

The fractions n/91 where n takes values 1 to 90 are interesting when written as decimals. The decimal part repeats in six-digit sections which, if reversed, gives a different n/91.

For example:

49/91 = 0.538461 ...

Reverse it to get:

0.164835 ...

And that turns out to be 15/91 

Amazing!

All of the n/91 fractions come in these not-so-easily predictable pairs. Can you work out the sequence?