Question

A man bought a cake and ate 1/7 from it immediately. Two hours later, hea ate 2/5 of the remainder and then gave 1/4 of the cake that is left to his cat. Calculate the fraction of the cake is left.

Answer 1

after first eating, 7/8 of cake is left
so he ate 2/5 of that, leaving (3/5)(7/8) or 21/40 of the cake.
he gave 1/4 of that to the cat, leaving him with
(3/4)(21/4) or ...... of the cake