F'arc'tion

At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.

Possible extension

Can you find an example where you put in an odd number of fractions to get the next Farey Sequence? If not, why not?

Possible support

Students need to be confident at comparing fractions by using equivalent fractions. One way of supporting them in this is to use a fraction wall.