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?(1 point)

Answer 1

To find the length of the smaller piece, we need to subtract the length of the larger piece from the original length of the rod.

The original length of the rod is 9/1/8 inches.

To subtract 7/3/4 inches from 9/1/8 inches, we need to find a common denominator.

The common denominator of 8 and 4 is 8.

9/1/8 = 9/8/1

Now we can subtract:

9/8/1 - 7/3/4 = (9/8 - 7/3)/8

To subtract fractions with different denominators, we need to find a common denominator:

The common denominator of 8 and 3 is 24.

(9/8) * (3/3) = 27/24
(7/3) * (8/8) = 56/24

Now we can subtract:

(27/24 - 56/24)/8 = (27 - 56)/24/8 = -29/24

Therefore, the length of the resulting smaller piece is -29/24 inches.