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?(1 point)
Responses

5/12
Start Fraction 5 over 12 End Fraction

3/4
Start Fraction 3 over 4 End Fraction

7/12
Start Fraction 7 over 12 End Fraction

1

Answer 1

To find out how much more Jamal ate than his brother, we need to calculate the difference between the amounts they each consumed.

1. Jamal's consumption: He ate \( \frac{2}{3} \) of his banana.

2. His brother's consumption: He ate \( \frac{1}{4} \) of his banana.

Now, we calculate the difference:

\[ \text{Difference} = \text{Jamal's consumption} - \text{Brother's consumption} = \frac{2}{3} - \frac{1}{4} \]

To subtract these fractions, we first need to find a common denominator. The least common multiple of 3 and 4 is 12.

Now we convert each fraction:

\[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]

\[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]

Now we can subtract the two fractions:

\[ \frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12} \]

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

The answer is:

\[ \frac{5}{12} \]