# Maths Item of the Month

September 2021

## Unit fractions in the Sand Reckoner diagram

The Sand Reckoner diagram is created by joining the corners of a unit square to the midpoints of non-adjacent sides.

Show that in the diagram the blue lengths are all unit fractions:

$$AA’ = \dfrac{1}{2} \textrm{, }BB’= \dfrac{1}{3} \textrm{, }CC’= \dfrac{1}{4} \textrm{ and }DD’= \dfrac{1}{5}$$

What other unit fractions can be found in the diagram?

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