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)
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.
First, let's add the amounts of fabric Shani used: 1/2 ft + 1 3/4 ft = 3/6 ft + 10/6 ft = 13/6 ft.
Next, let's subtract the amount of fabric used from the original length: 2 2/3 ft - 13/6 ft = (8/3) ft - 13/6 ft.
To subtract these fractions, we need to find a common denominator: 8/3 = 16/6.
So, the expression becomes (16/6) ft - (13/6) ft.
Subtracting the fractions, we get: (16 - 13)/6 ft = 3/6 ft = 1/2 ft.
Therefore, Shani has 1/2 ft of fabric left. Answer: \boxed{\dfrac{1}{2}} ft.