Question

Carlos ate 1/3 of his caramel pie. Carlos is having a friend come over and wants to give her 1/4 of the pie he has remaining. What fraction of the original pie will he give his friend?

Answer 1

Answer: 1/6

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Step-by-step explanation:

Multiply the denominators to get 3*4 = 12. We'll use this value to set up the number of slices we start with.

If we started with 12 slices, then 1/3 of this is (1/3)*12 = 4 slices. So Carlos ate 4 slices. There are 12-4 = 8 slices left.

1/4 of that value is (1/4)*8 = 2 which is the number of slices given to his friend.

Divide the number of slices given to the friend (2) over the number we started with (12) to get 2/12 = 1/6

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Another approach:

If Carlos ate 1/3 of the full pie, then there are 2/3 of it left.

1/4 of this is (1/4)*(2/3) = (1*2)/(4*3) = 2/12 = 1/6 which represents the fractional amount of the original pie given to the friend.