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 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?
Using the picture of the fraction wall, can you find equivalent fractions?
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
A jigsaw where pieces only go together if the fractions are equivalent.
Match the cards of the same value.
Watch this animation. What do you see? Can you explain why this happens?
What is the last digit of the number 1 / 5^903 ?
The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?
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?