Question

After Charlie ate 2/3 of the remaining cake, he divided the rest equally among his 3 friends. What fraction of the pan of cake did each friend get? Write an expression and show all of your work.

Answer 1

1/9 of the cake

Explanation:

1 - 2/3 = 1/3 left

(1/3) / 3 = 1/9 = what each friend got

In one fell swoop we have ( 1 - 2/3) / 3 = 1/9

Answer 2

Answer: 1/9 of the cake

Explanation:

Charlie ate 2/3 of the cake which means that what is left to give the friends is:

= 1 - 2/3

= 1/3 of the cake

This was divided equally amongst three friends so the expression would be:

= 1/3 ÷ 3

This can also be written as:

= 1/3 * 1/3

= 1/9

Each friend got 1/9 of the cake.