To find the quotient of two fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, the reciprocal of 12/7 is 7/12.
Multiplying 1/2 by 7/12, we get (1/2)*(7/12) = 7/24.
Therefore, the quotient of 1/2 and 12/7 is 7/24.
Find the quotient of 1/2 and 12/7 .
9 answers
What is 5/6÷6/7
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, the reciprocal of 6/7 is 7/6.
Multiplying 5/6 by 7/6, we get (5/6)*(7/6) = 35/36.
Therefore, 5/6 ÷ 6/7 is equal to 35/36.
So, the reciprocal of 6/7 is 7/6.
Multiplying 5/6 by 7/6, we get (5/6)*(7/6) = 35/36.
Therefore, 5/6 ÷ 6/7 is equal to 35/36.
What is 2/3÷12/19 ?
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, the reciprocal of 12/19 is 19/12.
Multiplying 2/3 by 19/12, we get (2/3)*(19/12) = 38/36.
The fraction 38/36 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2 in this case:
38 ÷ 2 = 19
36 ÷ 2 = 18
So, 38/36 simplifies to 19/18.
Therefore, 2/3 ÷ 12/19 is equal to 19/18.
So, the reciprocal of 12/19 is 19/12.
Multiplying 2/3 by 19/12, we get (2/3)*(19/12) = 38/36.
The fraction 38/36 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2 in this case:
38 ÷ 2 = 19
36 ÷ 2 = 18
So, 38/36 simplifies to 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)
avocado
avocado
If the recipe calls for 1/4 cup of lime juice for every 4 avocados, we can set up a proportion to find how many avocados are needed for 1 cup of lime juice.
Let x represent the number of avocados needed.
We can set up the proportion:
(1/4) cup lime juice / 4 avocados = 1 cup lime juice / x avocados
To solve for x, we can cross-multiply:
(1/4)(x) = (1)(4)
x/4 = 4
Multiplying both sides of the equation by 4, we get:
x = 16
Therefore, Desiree will need 16 avocados.
Let x represent the number of avocados needed.
We can set up the proportion:
(1/4) cup lime juice / 4 avocados = 1 cup lime juice / x avocados
To solve for x, we can cross-multiply:
(1/4)(x) = (1)(4)
x/4 = 4
Multiplying both sides of the equation by 4, we get:
x = 16
Therefore, Desiree will need 16 avocados.
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 mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?
If Rubio can walk 2/3 of a mile in 16 minutes, we can set up a proportion to find out how long it will take him to walk 1 mile.
Let x represent the time it takes Rubio to walk 1 mile.
We can set up the proportion:
(2/3) mile / 16 minutes = 1 mile / x minutes
To solve for x, we can cross-multiply:
(2/3)(x) = (1)(16)
2x/3 = 16
Multiplying both sides of the equation by 3/2 (or multiplying the equation by 2 and then dividing by 3), we get:
x = (16)(3/2)
x = 48/2
x = 24
Therefore, it will take Rubio 24 minutes to walk to his friend's house.
Let x represent the time it takes Rubio to walk 1 mile.
We can set up the proportion:
(2/3) mile / 16 minutes = 1 mile / x minutes
To solve for x, we can cross-multiply:
(2/3)(x) = (1)(16)
2x/3 = 16
Multiplying both sides of the equation by 3/2 (or multiplying the equation by 2 and then dividing by 3), we get:
x = (16)(3/2)
x = 48/2
x = 24
Therefore, it will take Rubio 24 minutes to walk to his friend's house.
1 answer