Question

A picture framer has a board 10 1/12 feet long. The framer notices that 2 3/8 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?

Answer 1

(10 1/12 - 2 3/8) / (1 2/3) =
(121/12 - 19/8) / (5/3) =
(242/24 - 57/24) / (5/3) =
(185/24) / (5/3) =
185/24 * 3/5 =
185/40 =
4.625......so, at most, 4 picture frames can be made