Lucy saws a wooden rod into two pieces. The larger piece is 7 3/4 inches long. The original rod was 9 1/8 inches long. How many inches long is the resulting smaller piece?
A : 16 7/8
B : 2
C : 2 5/8
D : 1 3/8
To find the length of the smaller piece, we can subtract the length of the larger piece from the original length of the rod.
9 1/8 - 7 3/4 = 9/8 - 31/4 = (36 - 31)/8 = 5/8 = 5/8
The resulting smaller piece is 5/8 inches long, which can also be written as 0 5/8 inches.
Therefore, the answer is D: 1 3/8 inches.