To find the weight of each banana, we start with the total weight of the 3 bananas, which is three-fourths of a pound (or \( \frac{3}{4} \) pound). Since all the bananas weigh the same, we can divide the total weight by the number of bananas:
\[ \text{Weight of each banana} = \frac{\text{Total weight}}{\text{Number of bananas}} = \frac{\frac{3}{4}}{3} \]
This can be simplified as follows:
\[ \text{Weight of each banana} = \frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12} \]
Now, we can simplify \( \frac{3}{12} \):
\[ \frac{3}{12} = \frac{1}{4} \]
Thus, the weight of each banana is \( \frac{1}{4} \) of a pound.
The answer is: One-fourth of a pound.