If 1/2 gallon of paint covers 1/6 of a wall then how much paint is needed for the entire wall

Full wall is 6 times 1/6 (6*1/6=1), so 6 times half a gallon, or 3 gallons.

3 gallons. If we simplify the math for this equation by taking only the denominators into the equation, we can divide 6 by 2 to get 3. Since one half of a gallon multiplied by 6 is equal to 3 gallons, our math has been checked, so the answer is 3.