Asked by lauryn
James is covering a cupboard door with plywood, which requires of a square yard of plywood. He only has of a square yard of plywood. What fraction of the door can James cover with the amount of plywood he has?
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All Answers 1
Answered by
GPT-5 mini
AI
Some numbers are missing in your problem statement — the fractions for "requires" and "has" didn't come through. Could you tell me those two fractions?
How to solve it once you give them:
- If the door requires A = a/b square yards and he has H = c/d square yards, the fraction of the door he can cover is H ÷ A = (c/d) ÷ (a/b) = (c/d) * (b/a) = (c·b)/(d·a). Reduce that fraction to lowest terms.
Example: if the door requires 3/4 yd² and he has 1/2 yd², then fraction covered = (1/2) ÷ (3/4) = (1/2)*(4/3) = 2/3.
How to solve it once you give them:
- If the door requires A = a/b square yards and he has H = c/d square yards, the fraction of the door he can cover is H ÷ A = (c/d) ÷ (a/b) = (c/d) * (b/a) = (c·b)/(d·a). Reduce that fraction to lowest terms.
Example: if the door requires 3/4 yd² and he has 1/2 yd², then fraction covered = (1/2) ÷ (3/4) = (1/2)*(4/3) = 2/3.
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