Find the quotient of 1/2 and 12/7 .

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.

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.

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.

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

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.

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.

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 divide the denominator of the first fraction by the denominator of the second fraction. In this case, we have:

Numerator: 1/2
Denominator: 12/7

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator. Therefore, we can rewrite the problem as:

(1/2) * (7/12)

Now, we can multiply the numerators together and the denominators together:

(1 * 7) / (2 * 12) = 7/24

The quotient of 1/2 and 12/7 is 7/24.