Challenge Level

When a speaker gave a talk, 6% of the audience slept through the whole thing.

22% of the audience stayed awake and heard the entire talk.

Of the rest of the audience, half of them heard $\frac{2}{3}$ of the talk, and half of them heard $\frac{1}{3}$ of the talk.

What was the average proportion of the talk that people heard?

You can find more short problems, arranged by curriculum topic, in our short problems collection.