Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana?

StartFraction 1 Over 12 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
One-fourth of a pound
One-third of a pound

1 answer

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.