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A picture framer has a thin board 101/2 feet long.The farmer notices that 23/8 feet of the board is scratched and cannot be used.The rest of the board will be used to make small picture frames. Each picture frame needs 1 2/3 feet of the board.At most, how many complete picture frames can be made?

Verified Answer :

101/2 is 50 1/2
23/8 is   2   7/8
50 1/2 - 2 7/8 = 47 5/8
47 5/8 / 1 2/3 = 27.69, to the nearest hundredth
Since he can't make fractions of picture frame, the answer is 27

frika

The farmer notices that 23/8 feet of the board with length 101/2 feet is scratched and cannot be used. Then left

\(\dfrac{101}{2}-\frac{23}{8}=\dfrac{404-23}{8}=\dfrac{381}{8}\) feet.

Each picture frame needs 1 2/3 feet of the board. Then the farmer can make 28  complete picture frames, because

\(\dfrac{381}{8}:\dfrac{5}{3} = \dfrac{381}{8}\cdot \dfrac{3}{5}=\dfrac{1143}{40}=28.575.\)

Answer: 28 complete picture frames

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