A carpenter had a board 2'-10 3/4'' long. To fit the space for a shelf, the carpenter cut 7/16'' off one end. How long was the board after the piece was removed?

The notation 2'-10 3/4" might seem a bit confusing.

In words, the length is 2 feet, 10 and three-quarter inches.

The carpenter cut 7/16" off one end.

This means the carpenter cut 7/16 of an inch off one end.

We can subtract 7/16" to find the new length of the board.

3/4" - 7/16"

= 12/16" - 7/16"

= 5/16"

Instead of 3/4", we now have 5/16" inches at the end.

The length of the board after cutting the piece off the end is:

2'-10 5/16"