Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.