Shawnee has a piece of fabric that is 2 and 2/3 ft long she uses 1/2 a feet for One sewing project and one and 3/4 ft for another project how much fabric does Shawnee have left solve this multi-step real word problem express your answer and the simplest form
To find out how much fabric Shawnee has left, we need to subtract the amount of fabric she used from the total length of the fabric she had.
Total length of fabric = 2 and 2/3 ft
For the first project, Shawnee used 1/2 ft of fabric.
For the second project, Shawnee used 1 and 3/4 ft of fabric.
Total amount of fabric used = 1/2 ft + 1 and 3/4 ft
To add these two fractions, we need to find a common denominator:
1/2 ft + 7/4 ft = (2/4) ft + (7/4) ft = 9/4 ft
Now, we can subtract the amount of fabric used from the total length:
2 and 2/3 ft - 9/4 ft
To subtract fractions with different denominators, we need to find a common denominator:
2 and 2/3 = (2*3 + 2)/3 = 8/3 ft
Now, we can subtract the fractions:
8/3 ft - 9/4 ft
To subtract fractions, we need to find a common denominator:
8/3 ft = (8/3) * (4/4) = 32/12 ft
9/4 ft = (9/4) * (3/3) = 27/12 ft
Now, we can subtract the fractions:
32/12 ft - 27/12 ft = 5/12 ft
Therefore, Shawnee has 5/12 ft of fabric left.