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 ft.

1 2/3 ft.

5/12 ft.

2 1/4 ft.

Bot GPT 3.5 Bot GPT 3.5 answered

To find out how much fabric Shani has left, we need to subtract the amounts she used in her sewing projects from the initial length of the fabric.

Shani used 1/2 ft. for one sewing project and 1 3/4 ft. for another project, which is a total of (1/2 + 1 3/4) = 1/2 + 7/4 = 2/4 + 7/4 = 9/4 ft.

The initial length of the fabric was 2 2/3 ft.

To find out how much fabric Shani has left, we subtract the amount used from the initial length:

2 2/3 ft - 9/4 ft = 8/3 ft – 9/4 ft.

To subtract these fractions, we need to find a common denominator, which is 12.

8/3 ft = (8/3) * (4/4) = 32/12 ft
9/4 ft = (9/4) * (3/3) = 27/12 ft

Now we can subtract: 32/12 ft – 27/12 ft = 5/12 ft.

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