Equivalent fractions, decimals and percentages

Weekly Problem 24 - 2012
Can you put these very close fractions into order?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

What is the last digit of the number 1 / 5^903 ?

Can you express every recurring decimal as a fraction?

What do you notice about these families of recurring decimals?

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Watch this animation. What do you see? Can you explain why this happens?

Choose some fractions and add them together. Can you get close to 1?

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

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?