Question

You told your friend that you could eat 7/8 of a large pizza. If you only ate 2/3 of what you said you could eat, what fraction of a large pizza did you eat?

Answer 1

The fraction of the large pizza that you were supposed to eat is 7/8. You could only eat 2/3 of 7/8. Thus, the fraction that you ate would be

(2/3) / (7/8)

If we flip 7/8 such that it becomes 8/7, the division sign would change to multiplication sign. Thus, we have

2/3 * 8/7

= 16/21

The fraction of the large pizza pizza that you ate is 16/21