Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
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?
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
Using the picture of the fraction wall, can you find equivalent fractions?
What is the last digit of the number 1 / 5^903 ?
Choose some fractions and add them together. Can you get close to 1?
A jigsaw where pieces only go together if the fractions are equivalent.
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
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?
Watch this animation. What do you see? Can you explain why this happens?