Skyler is making cookies to donate to the bake sale at his local grocery store. He makes 2/3 of the cookies on a given night and has only enough time to decorate 1/4 of them. What is the fractional portion remaining that he still needs to decorate?(1 point)
Responses
1/2
Start Fraction 1 over 2 End Fraction
3/7
Start Fraction 3 over 7 End Fraction
5/12
Start Fraction 5 over 12 End Fraction
11/12
To find the fractional portion remaining that Skyler still needs to decorate, we need to multiply the fractions for the cookies made and the cookies decorated.
Skyler makes 2/3 of the cookies on a given night, and decorates 1/4 of them.
2/3 * 1/4 = 2/12 = 1/6
Therefore, the fractional portion remaining that Skyler still needs to decorate is 1/6.
Skyler is making cookies to donate to the bake sale at his local grocery store. He makes 2/3 of the cookies on a given night and has only enough time to decorate 1/4 of them. What is the fractional portion remaining that he still needs to decorate?(1 point)
Responses
1/2
Start Fraction 1 over 2 End Fraction
3/7
Start Fraction 3 over 7 End Fraction
5/12
Start Fraction 5 over 12 End Fraction
11/12
To find the fractional portion remaining that Skyler still needs to decorate, we need to subtract the fraction of cookies that he has already decorated from the fraction of cookies that he made.
Skyler made 2/3 of the cookies and decorated 1/4 of them.
Remaining cookies = 2/3 - 1/4
To subtract fractions, we need to have a common denominator. The common denominator of 3 and 4 is 12.
Remaining cookies = (2/3)(4/4) - (1/4)(3/3)
Remaining cookies = 8/12 - 3/12
Remaining cookies = 5/12
Therefore, the fractional portion remaining that Skyler still needs to decorate is 5/12.
Your neighborhood would like to raise funds to update the equipment in the neighborhood park. They hold a bake sale and raise 3/8 of the desired funds and then have a neighborhood yard sale and raise another 1/4 . What is the total fractional amount of the desired funds they have raised?(1 point)
Responses
5/8
Start Fraction 5 over 8 End Fraction
1/8
Start Fraction 1 over 8 End Fraction
1/3
Start Fraction 1 over 3 End Fraction
1/2
To find the total fractional amount of the desired funds they have raised, we need to add the fractions for the funds raised from the bake sale and the yard sale.
The bake sale raised 3/8 of the desired funds, and the yard sale raised 1/4 of the desired funds.
Total funds raised = 3/8 + 1/4
To add fractions, we need to have a common denominator. The common denominator of 8 and 4 is 8.
Total funds raised = (3/8)(2/2) + (1/4)(2/2)
Total funds raised = 6/16 + 2/16
Total funds raised = 8/16
Simplifying the fraction, we get:
Total funds raised = 1/2
Therefore, the total fractional amount of the desired funds they have raised is 1/2.
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.
2 1/4 ft.
2 Start Fraction 1 over 4 End Fraction ft.
5/12 ft.
Start Fraction 5 over 12 End Fraction ft.
1 2/3 ft.
To find the amount of fabric that Shani has left, we need to subtract the lengths of the fabric she used for her projects from the total length of the fabric she started with.
Shani has a piece of fabric that is 2 2/3 ft. long.
She used 1/2 ft. for one sewing project.
She used 1 3/4 ft. for another project.
Total fabric used = 1/2 + 1 3/4
To add fractions, we need to have a common denominator. The common denominator of 2 and 4 is 4.
Total fabric used = (1/2)(2/2) + (1/4)(4/4)
Total fabric used = 2/4 + 4/4
Total fabric used = 6/4
Now we need to convert the mixed number 1 2/3 into an improper fraction.
1 2/3 = 3/3 + 2/3 = 5/3
Subtracting the total fabric used from the total fabric available:
Fabric left = (2 2/3) - (6/4)
To subtract fractions, we need to have a common denominator. The common denominator of 3 and 4 is 12.
Fabric left = (8/3)(4/4) - (6/4)(3/3)
Fabric left = 32/12 - 18/12
Fabric left = 14/12
Simplifying the fraction, we get:
Fabric left = 7/6 ft
Therefore, Shani has 7/6 ft. (or 1 1/6 ft) of fabric left.