Adriana is painting her garage door, which requires of a gallon of paint. She only has of a gallon of paint. What fraction of the door can Adriana paint with the amount of paint she has?
A.3/7
B.1/2
C.9/14
D.2/7
The amount of paint Adriana has is 3/7 of a gallon. Since she needs 7/7 of a gallon to paint the entire door, she can paint 3/7 of the door. Therefore, the correct answer is $\boxed{\text{(A) }\frac{3}{7}}$.
To find the fraction of the garage door that Adriana can paint with the amount of paint she has, we need to divide the amount of paint she has by the amount of paint required for the entire door.
Adriana has 1/4 of a gallon of paint, and the entire door requires 3/4 of a gallon of paint.
So, the fraction of the door that Adriana can paint is: (1/4) / (3/4).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (1/4) * (4/3).
Multiplying the numerators (1 * 4) and the denominators (4 * 3), we get: 4/12.
Simplifying the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4: (4/4) / (12/4) = 1/3.
Therefore, Adriana can paint 1/3 of the garage door with the amount of paint she has.
The correct answer is not listed in the options provided.
To find the fraction of the door that Adriana can paint, we need to divide the amount of paint she has by the amount of paint required for the door:
Fraction of door painted = (Amount of paint Adriana has)/(Amount of paint required)
Given that Adriana has 3/7 of a gallon of paint and the door requires 1 gallon of paint:
Fraction of door painted = (3/7)/(1) = 3/7
Therefore, the fraction of the door that Adriana can paint with the amount of paint she has is 3/7. So, the correct answer is A. 3/7.