At a party. Andy and April shared a cherry pie. Andy ate 2/5 of the pie and April ate 1/3 of the pie. What fraction of the pie did they eat altogether

Answer:the fraction of the cherry pie that they ate altogether is 11/15

Step-by-step explanation:

Let x represent the total size of the cherry pie that Andy and April shared.

Andy ate 2/5 of the pie. This means that the total amount of cherry pie that Andy ate is 2/5 * x = 2x/5

April ate 1/3 of the pie. This means that the total amount of cherry pie that April ate is 1/3 * x = x/3

The amount of the cherry pie eaten by both Andy and April would be

2x/5 + x/3 = 11x/15

Therefore, the fraction of the cherry pie that they ate altogether would be

(11x/15) / x = 11/15