Fractions

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

Investigate the successive areas of light blue in these diagrams.

There are lots of ideas to explore in these sequences of ordered fractions.

We only need 7 numbers for modulus (or clock) arithmetic mod 7 including working with fractions. Explore how to divide numbers and write fractions in modulus arithemtic.

Anne completes a circuit around a circular track in 40 seconds. Brenda runs in the opposite direction and meets Anne every 15 seconds. How long does it take Brenda to run around the track?

Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?

Can you express every recurring decimal as a fraction?

What do you notice about these families of recurring decimals?

These pictures show squares split into halves. Can you find other ways?

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