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Joseph was building a project out of wood. he started with a board that was 12 (1/2) feet long. he cut two pieces that were 3(3/4) feet long and two pieces that were 1 (1/8) feet long. how much wood is left?

User Airikr
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1 Answer

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Final answer:

Joseph started with a 12 (1/2) feet board and made cuts totaling 9.75 feet. After subtracting the cuts from the original length, Joseph is left with 2.75 feet of wood.

Step-by-step explanation:

To calculate how much wood is left after Joseph made his cuts, we need to subtract the total length of the wood he used from the original length of the board. Joseph started with a board that was 12 (1/2) feet long and cut two pieces that were 3(3/4) feet long and two pieces that were 1 (1/8) feet long.

First, we'll find the total length of the cuts Joseph made:

  • Total length of the two longer pieces: 2 × 3(3/4) feet = 2 × 3.75 feet = 7.5 feet
  • Total length of the two shorter pieces: 2 × 1 (1/8) feet = 2 × 1.125 feet = 2.25 feet
  • Total length of all cuts: 7.5 feet + 2.25 feet = 9.75 feet

Next, we'll subtract the total length of all cuts from the original length of the board:

12.5 feet (original length) - 9.75 feet (total cuts) = 2.75 feet (wood left)

Joseph has 2.75 feet of wood remaining after making his cuts.

User Scott Bossak
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