Question

a board that is 2 5/8 feet long is cut from a larger board that is 7 1/3 feet long. How much of the board remains?

Answer 1

`4(17)/(24)` feet

Explanation:

Total length of the board =
`7(1)/(3)=(22)/(3)` feet

Length of board that is removed from the larger board =
`2(5)/(8)=(21)/(8)`

When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:

Remaining Length of board = Total Length - Length of smaller board

=
`(22)/(3)-(21)/(8)\\\\\text{Taking LCM, which is 24}\\\\ =(8(22)-3(21))/(24)\\\\ =(113)/(24)\\\\ =4(17)/(24)`

This means
`4(17)/(24)` feet of board remains after removing the smaller board from it.