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:

$$\frac{5}{12}$$