HELP!

Find the quotient of 1/2 and 12/7

20 answers

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.
Find the quotient of 9/10 and 2/3.
To find the quotient of 9/10 divided by 2/3, we need to divide 9/10 by 2/3.

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

The reciprocal of 2/3 is 3/2.

Therefore, the quotient of 9/10 and 2/3 is (9/10) * (3/2) = (9*3) / (10*2) = 27/20.

So, the quotient of 9/10 and 2/3 is 27/20.
What is 3/10÷1/3?
To find the quotient of 3/10 divided by 1/3, we need to divide 3/10 by 1/3.

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

The reciprocal of 1/3 is 3/1 or simply 3.

Therefore, the quotient of 3/10 and 1/3 is (3/10) * 3 = 9/10.

So, the quotient of 3/10 divided by 1/3 is 9/10.
Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room
If Stacy is able to paint 3/4 of the bedroom in 3 hours, we can set up a proportion to determine how long it will take her to paint the entire room:

(3/4) of the room / 3 hours = 1 room / x hours

Cross-multiplying, we get:

(3/4) * x = 3 * 1

Simplifying, we have:

3x/4 = 3

To solve for x, we can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:

(4/3) * (3x/4) = (4/3) * 3

x = 4

Therefore, it will take Stacy 4 hours to paint the entire room.
Miguel is returning from a trip. In 4 hours, he has driven 2/3 of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination?
If Miguel has driven 2/3 of the total distance in 4 hours, we can set up a proportion to determine the total time it will take him to reach his destination:

(2/3) of the distance / 4 hours = 1 distance / x hours

Cross-multiplying, we get:

(2/3) * x = 4 * 1

Simplifying, we have:

2x/3 = 4

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

(3/2) * (2x/3) = (3/2) * 4

x = 6

Therefore, it will take Miguel 6 hours to reach his destination.
Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2/3 of the floor in 1/3 of an hour. At this rate, how long will it take her to complete the entire floor
If Iris completes 2/3 of the floor in 1/3 of an hour, we can set up a proportion to determine how long it will take her to complete the entire floor:

(2/3) of the floor / (1/3) of an hour = 1 floor / x hours

Cross-multiplying, we get:

(2/3) * x = (1/3) * 1

Simplifying, we have:

2x/3 = 1/3

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

(3/2) * (2x/3) = (3/2) * (1/3)

x = 1/2

Therefore, it will take Iris 1/2 hour to complete the entire floor.
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