A city data report shows that 1/3 of the parks in that area have a flagpole. If the city decides to install more flagpoles in another 1/3 of the parks, what is the total fractional portion of parks that have flagpoles?(1 point)
Responses
2/3
0
1/2
1/3
If originally 1/3 of the parks had flagpoles, and the city decides to install flagpoles in another 1/3 of the parks, then the total fractional portion of parks with flagpoles would be 1/3 + 1/3 = 2/3.
The correct response is:
2/3
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
3/7
1/2
5/12
11/12
Your city wants to replace a fence around the city baseball field property, including the parking lot. The city learns that the total distance around the property is 1 1/2 of a mile. They already have enough fencing to cover 3/4 of a mile. How much more distance of fencing would they need to purchase?(1 point)
Responses
1/2 of a mile
3/4 of a mile
2 1/4 of a mile
1 mile
To find out how much more distance of fencing the city would need to purchase, we need to subtract the distance they already have from the total distance around the property.
The total distance around the property is 1 1/2 miles.
The distance they already have is 3/4 of a mile.
To find the remaining distance, we subtract 3/4 of a mile from 1 1/2 miles:
1 1/2 - 3/4 = 3/2 - 3/4 = 6/4 - 3/4 = 3/4
Therefore, they would need to purchase an additional 3/4 of a mile of fencing.
The correct response is:
3/4 of a mile
There are three people running to be elected as the Town Clerk. If the first person gets 1/3 of the votes, and the second person gets 2/15 of the votes, what is the total votes for the two people? (1 point)
Responses
3/18
1/2
7/15
315
To find the total votes for the two people, we need to add the fractions representing the votes each person received.
The first person received 1/3 of the votes.
The second person received 2/15 of the votes.
To add these fractions, we need to find a common denominator. The least common multiple of 3 and 15 is 15.
Converting 1/3 to a fraction with a denominator of 15:
1/3 = (1/3) * (5/5) = 5/15
Converting 2/15 to a fraction with a denominator of 15:
2/15
Now we can add the fractions:
5/15 + 2/15 = 7/15
Therefore, the total votes for the two people is 7/15.
The correct response is:
7/15
To find the fractional portion of cookies that Skyler still needs to decorate, we need to subtract the fraction of cookies he has already decorated from the fraction of cookies he made.
Skyler made 2/3 of the cookies.
He decorated 1/4 of them.
To find the remaining fraction, we subtract 1/4 from 2/3:
2/3 - 1/4
To subtract the fractions with different denominators, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
Converting 2/3 to a fraction with a denominator of 12:
2/3 = (2/3) * (4/4) = 8/12
Converting 1/4 to a fraction with a denominator of 12:
1/4 = (1/4) * (3/3) = 3/12
Now we can subtract the fractions:
8/12 - 3/12 = 5/12
Therefore, the fractional portion of cookies that Skyler still needs to decorate is 5/12.
The correct response 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
1/8
1/3
1/2
To find the total fractional amount of the desired funds they have raised, we need to add the fractions representing the funds raised from the bake sale and the yard sale.
The bake sale raised 3/8 of the desired funds.
The yard sale raised 1/4 of the desired funds.
To add these fractions, we need to find a common denominator. The least common multiple of 8 and 4 is 8.
Converting 3/8 to a fraction with a denominator of 8:
3/8
Converting 1/4 to a fraction with a denominator of 8:
1/4 = (1/4) * (2/2) = 2/8
Now we can add the fractions:
3/8 + 2/8 = 5/8
Therefore, the total fractional amount of the desired funds they have raised is 5/8.
The correct response is:
5/8