Final answer:
To find the gallons in various fractions of a gallon, each fraction is multiplied by the amount corresponding to a gallon. After converting the fractions into decimals, it is clear that the correct answer is 2/5, 1/10, 1/5, 3/10, 6/35 which corresponds to option (c).
Step-by-step explanation:
The question involves finding the number of gallons in various fractions of a gallon. We will solve each part step by step.
- 2/5 of a half-gallon is 2/5 * 1/2 = 2/10 = 1/5 gallon.
- One-tenth of a gallon is straight-forward as it's already given: 1/10 gallon.
- One-fifth of a gallon is again straightforward: 1/5 gallon.
- 3/10 of a gallon is already in terms of gallons: 3/10 gallon.
- 3/7 of a gallon requires we maintain the same denominator, so it remains: 3/7 gallon.
We convert each fraction into a decimal to check which option they match:
- 1/5 gallon = 0.2 gallons
- 1/10 gallon = 0.1 gallons
- 3/10 gallon = 0.3 gallons
- 3/7 gallon ≈ 0.4286 gallons, which simplifies to 6/35 when expressed as a fraction (multiplying numerator and denominator by 5).
Therefore, the correct answer is: 2/5, 1/10, 1/5, 3/10, 6/35, which corresponds to option (c).