Almost One

Choose some fractions and add them together. Can you get close to 1?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Almost One printable sheet



Here is a set of six fractions: $$\frac{1}{6} \quad \frac{1}{25} \quad \frac{3}{5} \quad \frac{3}{20} \quad \frac{4}{15} \quad \frac{5}{8} $$

Choose some of the fractions and add them together. You can use as many fractions as you like, but you can only use each fraction once.

Can you get an answer that is close to 1?

What is the closest to 1 that you can get?


With thanks to Colin Foster who introduced us to this problem.