Question

Write a fraction that is less than 5/6 and has a denominator of 8

Answer 1

5/6 = 20/24
x/8 = x/24

So less than 5/6 with a denominator of 8 may be for example 5/8, which is as much as 15/24. Actually anything below 7/8 (which is 21/24) will do the job.

Answer 2

$\frac{5}{6}=0.8(3) \\ \\ \frac{x}{8} < \frac{5}{6} \\ \\ \frac{x}{8} < 0.8(3)\\\\ \boxed{x= \{1,2,3,4,5,6 \}}$