Shani has a piece of fabric that is 2 2/3 ft. long. She uses 1/2 ft. for one sewing project and 1 3/4 ft. for another project. How much fabric does Shani have left? Solve this multi-step real-world problem. Express your answer in simplest form.(1 point)

1 answer

To find out how much fabric Shani has left, we need to subtract the total amount of fabric she used from the original length of the fabric.

1/2 + 1 3/4 = 1/2 + 7/4 = 2/4 + 7/4 = 9/4 ft

To subtract 9/4 from 2 2/3, we need to find a common denominator.

The least common multiple of 3 and 4 is 12.

2 2/3 = 8/3

8/3 - 9/4 = (32/12) - (27/12) = 5/12

Therefore, Shani has 5/12 ft of fabric left.