Mike drank more than half te juice in his glass. What fraction of the juice could mike have drunk.

5/8

To determine the fraction of the juice Mike could have drunk, you need to calculate how much juice is left in the glass after he drank more than half.

Let's assume that the glass initially contained 1 whole unit of juice. If Mike drank more than half, it means he consumed more than 1/2 of the juice.

To calculate the fraction of the juice he could have drunk, we need to subtract the amount of juice he consumed from the initial whole unit of juice.

Let's represent the fraction of juice Mike could have drunk as x.

Since he drank more than half, we know that x is greater than 1/2. Thus, we can express Mike's consumption as more than 1/2, or x > 1/2.

Now, to calculate how much juice remains in the glass, we subtract the fraction Mike could have drunk (x) from the whole unit (1):

Remaining juice = 1 - x

Therefore, Mike could have drunk 1 - x fraction of the juice in the glass.