24 fish are equivalent to 4/6 of the number of fish a fisherman caught. How many fish did the fisherman catch?

If 24 fish are equivalent to 4/6 of the number of fish the fisherman caught, then 24 = (4/6)x, where x is the total number of fish.

To solve for x, we can multiply both sides by 6/4:

24 * 6/4 = (4/6)x * 6/4
36 = x

Therefore, the fisherman caught 36 fish.