Question 938651
When you change to a common denominator, the pattern is easier to recognize.
{{{1/2=3/6}}}
{{{1&1/6=7/6}}}
{{{1&1/2=6/6+3/6=9/6}}}
So then the sequence is,
{{{3/6}}},{{{5/6}}},{{{7/6}}},{{{9/6}}}
As you see, it's a progression of odd integers over 6.
So the next three would be {{{11/6}}},{{{13/6}}},{{{15/6}}}
or {{{11/6=1&5/6}}}
{{{13/6=2&1/6}}}
{{{15/6=2&1/2}}}