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Find the quotient of 1/2 and 12/7

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To find the quotient of 1/2 and 12/7, we need to divide 1/2 by 12/7.

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/7 = 7/12

Therefore, the quotient of 1/2 and 12/7 is (1/2) * (7/12) = (1*7) / (2*12) = 7/24.

So, the quotient of 1/2 and 12/7 is 7/24.

what is 5/6 divided by 6/7

To find the quotient of 5/6 divided by 6/7, we need to divide 5/6 by 6/7.

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 6/7 = 7/6

Therefore, the quotient of 5/6 and 6/7 is (5/6) * (7/6) = (5*7) / (6*6) = 35/36.

So, the quotient of 5/6 and 6/7 is 35/36.

2/3 divided by 12/19 =?

To find the quotient of 2/3 divided by 12/19, we need to divide 2/3 by 12/19.

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/19 = 19/12.

Therefore, the quotient of 2/3 and 12/19 is (2/3) * (19/12) = (2*19) / (3*12) = 38/36.

However, we can simplify this fraction by finding the greatest common divisor of the numerator (38) and denominator (36) and dividing both by that number.

The greatest common divisor of 38 and 36 is 2.

Dividing 38 and 36 by 2, we get 19/18.

Therefore, the quotient of 2/3 divided by 12/19 is 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

If 1/4 cup of lime juice is needed for every 4 avocados, then the ratio of lime juice to avocados is 1/4 cup : 4 avocados.

To find out how many avocados Desiree needs when using 1 cup of lime juice, we can set up a proportion:

(1/4 cup) / (4 avocados) = (1 cup) / x avocados

Cross-multiplying, we get:

1/4 cup * x avocados = 4 avocados * 1 cup

x/4 = 4

Multiplying both sides by 4, we get:

x = 16

Therefore, Desiree needs 16 avocados when using 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 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 mile in 16 minutes, we can set up a proportion to determine how long it will take for him to walk 1 mile:

(2/3 mile) / (16 minutes) = (1 mile) / x minutes

Cross-multiplying, we get:

(2/3) * x = 1 * 16

(2/3) * x = 16

To solve for x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(3/2) * (2/3) * x = 16 * (3/2)

x = 24

Therefore, it will take Rubio 24 minutes to walk to his friend's house.