Question

A bottle contains
3
4
gallon of fruit punch. If 6 people share the fruit punch equally, how much fruit punch does each person get?

A.
1
8
gallon

B.
2
9
gallon

C.
3
10
gallon

D.
9
2
gallon

Answer 1

To find out how much fruit punch each person gets when 6 people share \( \frac{3}{4} \) gallon of fruit punch equally, we divide the total amount of fruit punch by the number of people:

\[
\text{Amount per person} = \frac{\frac{3}{4}}{6}
\]

Dividing a fraction by an integer can be done by multiplying the fraction by the reciprocal of that integer:

\[
\text{Amount per person} = \frac{3}{4} \times \frac{1}{6} = \frac{3 \times 1}{4 \times 6} = \frac{3}{24}
\]

Now, simplify \( \frac{3}{24} \):

\[
\frac{3}{24} = \frac{1}{8}
\]

Thus, each person gets \( \frac{1}{8} \) gallon of fruit punch.

The correct answer is:

**A. \( \frac{1}{8} \) gallon**