3 3 8 8 - Solution

The trick to this problem was finding a way to make the most of the two 3's and two 8's that you could use. The answer was:

24 =	$$\frac{8}{{\displaystyle 3-\frac{8}{{\displaystyle 3}}}}$$

To see how this works, start by writing the left hand side as: $$\frac{\frac{8}{1}}{{\displaystyle 3-\frac{8}{{\displaystyle 3}}}}$$ When you multiply this out it becomes clear that it is correct. $$\frac{\frac{8}{1}}{{\displaystyle \frac{9-8}{{\displaystyle 3}}}}=\frac{8\times 3}{(9-8)\times 1}=\frac{24}{1}=24$$ Clever isn't it!