Jamal and his brother were each given a banana for a snack. Jamal ate 2/3

Question

of his banana. His brother ate 1/4
of his. How much more did Jamal eat than his brother?

Answer 1

To find out how much more Jamal ate than his brother, we need to subtract the amount that Jamal's brother ate from the amount that Jamal ate.

1. Jamal ate \( \frac{2}{3} \) of his banana.
2. His brother ate \( \frac{1}{4} \) of his banana.

Now we need to subtract \( \frac{1}{4} \) from \( \frac{2}{3} \). To do this, we need a common denominator. The least common multiple of 3 and 4 is 12.

Now we can convert both fractions:

• To convert \( \frac{2}{3} \) to twelfths: \[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]

• To convert \( \frac{1}{4} \) to twelfths: \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]

Now we can subtract: \[ \frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12} \]

Thus, Jamal ate \( \frac{5}{12} \) more than his brother.