How many half gallons are in 4/12 of a gallon?

Solution:
1. Convert 4/12 of a gallon into fraction simplest form:
- \frac{4}{12} = \frac{1}{3} gallon.

2. Determine the number of half gallons:
- A half gallon is expressed as the fraction of a gallon: \frac{1}{2} gallon.
- To find the number of half gallons in 1/3 gallon, divide the amount of gallons by the size of a half gallon:

\frac{1}{3} \div \frac{1}{2}

3. Multiply by the reciprocal:
- Division of fractions is equivalent to multiplication by the reciprocal:

\frac{1}{3} \times \frac{2}{1} = \frac{2}{3}

4. Thus, the number of half gallons in 4/12 of a gallon is:
- \frac{2}{3} half gallons.