Find the quotient 1/2 and 12/7
To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second fraction.
The quotient of 1/2 and 12/7 is given by:
(1/2) ÷ (12/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(1/2) * (7/12)
When we multiply the numerators (1 * 7) and the denominators (2 * 12), we get:
7/24
Therefore, the quotient of 1/2 and 12/7 is 7/24.
What is 5/6 ÷ 6/7? (1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The division problem 5/6 ÷ 6/7 can be rewritten as:
(5/6) * (7/6)
When we multiply the numerators (5 * 7) and the denominators (6 * 6), we get:
35/36
Therefore, 5/6 ÷ 6/7 is equal to 35/36.
What is 3 ÷ 13? (1 point)
To find the quotient of 3 divided by 13, we simply divide the numerator (3) by the denominator (13).
3 ÷ 13 = 0.230769230769231
So, the quotient of 3 divided by 13 is approximately 0.230769230769231.
What is 2/3 ÷ 12/19? (1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The division problem 2/3 ÷ 12/19 can be rewritten as:
(2/3) * (19/12)
To simplify the multiplication, we can simplify the fractions first.
2/3 = (2*1)/(3*1) = 2/3
12/19 = (2*6)/(3*6) = 12/18
Now we can rewrite the problem using the simplified fractions:
(2/3) * (19/12) = (2/3) * (19/18)
When we multiply the numerators (2 * 19) and the denominators (3 * 18), we get:
38/54
This fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 2.
38/54 = (2*19)/(2*27) = 19/27
Therefore, 2/3 ÷ 12/19 is equal to 19/27.
thts not right?
I apologize for the mistake in my previous response. Let's re-calculate the division problem correctly.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The division problem 2/3 ÷ 12/19 can be rewritten as:
(2/3) * (19/12)
Now, let's multiply the numerators (2 * 19) and the denominators (3 * 12):
(2 * 19) / (3 * 12) = 38 / 36
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
38 / 36 = (2 * 19) / (2 * 18) = 19 / 18
Therefore, 2/3 ÷ 12/19 is equal to 19/18.
Desiree is making guacamole for a party. The recipe she is using calls for 1/4 cup lime juice for every 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need? (1 point)
To find the number of avocados Desiree needs, we can set up a proportion based on the given information.
The recipe calls for 1/4 cup of lime juice for every 4 avocados.
Let x be the number of avocados Desiree needs.
Using the proportion:
(1/4) / 4 = 1 / x
We can cross-multiply to solve for x:
(1/4) * x = 1 * 4
x/4 = 4
Multiplying both sides by 4, we get:
x = 16
Therefore, Desiree needs 16 avocados for 1 cup of lime juice.
Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 1/4 mile in 16 minutes. At this rate, how long will it take him to get to his friend's house? (1 point)
To find out how long it will take Rubio to walk to his friend's house, we need to use the information given.
Rubio can walk at a pace of 1/4 mile in 16 minutes.
To find out how long it will take him to walk 1 mile, we can set up a proportion:
(1/4 mile) / 16 minutes = 1 mile / x minutes
We can cross-multiply to solve for x:
(1/4) * x = 16 * 1
x/4 = 16
Multiplying both sides by 4, we get:
x = 64
Therefore, it will take Rubio 64 minutes to walk to his friend's house.
Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 2/3 in mile in 16 minutes. At this rate, how long will it take him to get to his friend's house? (1 point)
To find out how long it will take Rubio to walk to his friend's house, we use the information given:
Rubio can walk at a pace of 2/3 mile in 16 minutes.
To find out how long it will take him to walk 1 mile, we can set up a proportion:
(2/3 mile) / 16 minutes = 1 mile / x minutes
We can cross-multiply to solve for x:
(2/3) * x = 16 * 1
2x = 16 * 3
2x = 48
Dividing both sides by 2, we get:
x = 24
Therefore, it will take Rubio 24 minutes to walk to his friend's house.