The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.

Can you locate these values on this interactive logarithmic scale?

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

A jigsaw where pieces only go together if the fractions are equivalent.

Using the picture of the fraction wall, can you find equivalent fractions?

Match the cards of the same value.

The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?

Find the decimal equivalents of the fractions one ninth, one ninety ninth, one nine hundred and ninety ninth etc. Explain the pattern you get and generalise.

Can you find ways to make twenty-link chains from these smaller chains?

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?