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A carpenter cut a board 3/34 feet long to make a shelf. Before he cut the board, it was 10/12 feet long. How long is the remaining piece of the board?

1 Answer

4 votes

Answer:

38/51 ft

Explanation:

uncut board - cut piece = board left

10/12 - 3/34 = board left

first lets simplify the fractions

10/12 divide by 2 on top and bottom

5/6

5/6 - 3/34 = board left

we need to get a common denominator 204

5/6 * 34/34 - 3/34 * 6/6 =

170/204 - 18/204

152/204

we can simplify by dividing the top and bottom by 4

38/51

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