Ali divided one fruit cake equally among six persons. What part of the cake did each person get?
\(\dfrac{1}{6}\)
Think of the cake as one whole: \(1\).
Ali shares it equally among 6 people. So the cake is cut into 6 equal parts.
One equal part is \(\tfrac{1}{6}\) of the whole.
Each person gets 1 part.
So each person’s share = \(1 \times \tfrac{1}{6}\).
\(1 \times \tfrac{1}{6} = \tfrac{1}{6}\).
Therefore, each person gets \(\tfrac{1}{6}\) of the cake.