### Do Unto Caesar

#### Choose a fraction of your own and apply the Greedy Algorithm to see if you can finish up with a string of unit fractions.

Does the greedy algorithm always work?
Can all fractions be expressed as a sum of different unit fractions by applying the Greedy Algorithm?
Can you convince yourself of this?

Why do you think it is called the Greedy Algorithm? What do these words mean in a mathematical context?