Question: Convert 512 ounces to gallons.
(1 pint = 16 ounces; 1 quart = 2 pints; 1 gallon = 4 quarts)
1. **State the problem:** Convert $512$ ounces to gallons using the given unit conversions.
2. **Recall the conversion factors:**
- $1$ pint = $16$ ounces
- $1$ quart = $2$ pints
- $1$ gallon = $4$ quarts
3. **Convert ounces to pints:**
$$\text{pints} = \frac{512 \text{ ounces}}{16 \text{ ounces per pint}}$$
$$= \frac{512}{16} = 32 \text{ pints}$$
4. **Convert pints to quarts:**
$$\text{quarts} = \frac{32 \text{ pints}}{2 \text{ pints per quart}}$$
$$= \frac{32}{2} = 16 \text{ quarts}$$
5. **Convert quarts to gallons:**
$$\text{gallons} = \frac{16 \text{ quarts}}{4 \text{ quarts per gallon}}$$
$$= \frac{16}{4} = 4 \text{ gallons}$$
6. **Final answer:**
$$512 \text{ ounces} = 4 \text{ gallons}$$
This means $512$ ounces is equivalent to $4$ gallons.