Question

A carpenter needs a board that is 78³′′/⁸ long that she will cut from a board is 94¹′′/⁴ long. If the saw blade has a³′′/¹⁶kerf blade (kerf is the thickness of wood that the blade removes with a cut), calculate the length of the left over piece.

a) 15¹¹′′/¹⁶
b) 16¹′′/¹⁶
c) 15³′′/⁴
d) 16′′

Answer 1

To calculate the length of the leftover piece, convert all measurements to the same unit, subtract the required board length from the original board length, taking into account the saw blade kerf, and express the final answer in the desired unit.

Step-by-step explanation:

To calculate the length of the leftover piece, we need to subtract the length of the required board from the length of the original board, taking into account the saw blade kerf. Here are the steps:

1. Convert all measurements to the same unit. In this case, let's convert everything to inches.
2. Convert the lengths to a common denominator. Simplify the fractions.
3. Subtract the required board length from the original board length, taking into account the kerf blade thickness.
4. Express the final answer in the desired unit, in this case, inches.

By following these steps, we find that the length of the leftover piece is 15ⁿ′/⁸″.