Dividing a Cake

Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


On Annie's ninth birthday her Mum made her a cake which had the figures from $0$ to $9$ round the edge in red icing instead of candles.



Image
Dividing a Cake


Starting from the centre, Annie cut the cake into $3$ pieces with $3$ cuts so that the numbers on each piece added to the same total.

Where were the cuts and what fraction of the whole cake was each piece?