What we're asking ourselves here is... what is the <em>least</em> number possible that we can get as a denominator for both 1/8 and 11/6 <em>without</em> changing the value of either fraction.
Let's list off the first couple multiples of 8 and 6 to see the lowest number they can both become through multiplying:
8, 16, 24, 32, 40
6, 12, 18, 24, 30
Notice that both have a multiple of 24. This is the answer to the question. If you need more help, let me know! :)