Question

A water bottle holds 5/6 of a gallon of water there are 7 1/2 gallons of water in a water tank how many water bottles can be filled with the water in the tank
write your answer as a fraction or as a whole or mixed number

___ water bottles

Answer 1

To determine how many water bottles can be filled with the water in the tank, we can follow these steps:

1. **Convert 7 1/2 gallons to an improper fraction**:
\[
7 \frac{1}{2} = \frac{15}{2} \quad \text{(since } 7 \times 2 + 1 = 15\text{)}
\]

2. **Determine how many water bottles (holding \(\frac{5}{6}\) of a gallon each) can be filled**:
We need to divide the total gallons of water by the volume of one water bottle:
\[
\text{Number of bottles} = \frac{\frac{15}{2}}{\frac{5}{6}}
\]

3. **Dividing by a fraction** is the same as multiplying by its reciprocal:
\[
= \frac{15}{2} \times \frac{6}{5}
\]

4. **Multiply the fractions**:
\[
= \frac{15 \times 6}{2 \times 5} = \frac{90}{10} = 9
\]

Therefore, the number of water bottles that can be filled is \( \boxed{9} \).