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)

Responses

1 ft.
1 ft.

5 1/2 ft.
Start Fraction 5 over 12 End Fraction ft.

2 1/4 ft.
2 Start Fraction 1 over 4 End Fraction ft.

1 2/3 ft.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we need to subtract the lengths of the fabric Shani used for her projects from the total length of the fabric she had.

First, we need to add the lengths 1/2 ft and 1 3/4 ft:

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

Next, we need to subtract this sum from the total length of the fabric:

2 2/3 ft - 9/4 ft = (2*3 + 2)/3 ft - 9/4 ft = 8/3 ft - 9/4 ft

To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12. So, we can rewrite the fractions with a denominator of 12:

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

Answer 2

The student council at Sugartown Middle School is planning a school dance.

3/5 of the budget is needed for the DJ, and 1/4 of the budget is needed to pay for the chaperones. What part of the budget is left to pay for decorations and snacks? Express your answer in simplest form.(1 point)
Responses

3/20 of the budget
Start Fraction 3 over 20 End Fraction of the budget

5/9 of the budget
Start Fraction 5 over 9 End Fraction of the budget

4/9 of the budget
Start Fraction 4 over 9 End Fraction of the budget

17/20 of the budget

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the part of the budget left for decorations and snacks, we need to subtract the fractions representing the DJ and chaperones' costs from the whole budget.

First, we need to find a common denominator for 5 and 4. The least common multiple of 5 and 4 is 20.

So, we can rewrite the fractions with a denominator of 20:

3/5 of the budget = (3/5)*(4/4) = 12/20 of the budget
1/4 of the budget = (1/4)*(5/5) = 5/20 of the budget

Next, we subtract the fractions:

12/20 - 5/20 = 7/20

Therefore, the part of the budget left for decorations and snacks is 7/20 of the budget.