Question

How many gallons are in 2/5 of a half-gallon container of milk, one-tenth of a gallon, one-fifth of a gallon, 3/10 of a gallon, 3/7 of a gallon?

a) 1/5, 1/10, 1/2, 3/5, 6/35
b) 1/10, 1/20, 1/4, 3/20, 3/14
c) 2/5, 1/2, 1/5, 3/10, 6/35
d) 1/5, 1/20, 1/10, 3/20, 3/14

Answer 1

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).