To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 6/7 is 7/6.
So, 5/6 divided by 6/7 is equal to (5/6) * (7/6),
which simplifies to (5 * 7) / (6 * 6)
= 35/36.
Therefore, 5/6 divided by 6/7 equals 35/36.
What is 5/6 divided by 6/7?
27 answers
What is 2/3 divided by 12/19?
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 12/19 is 19/12.
So, 2/3 divided by 12/19 is equal to (2/3) * (19/12).
To simplify this, we can cross-cancel the common factors. The factors 2 and 12 both have a common factor of 2, which cancels out.
After canceling out, we have (1/3) * (19/1) = 19/3.
Therefore, 2/3 divided by 12/19 equals 19/3.
The reciprocal of 12/19 is 19/12.
So, 2/3 divided by 12/19 is equal to (2/3) * (19/12).
To simplify this, we can cross-cancel the common factors. The factors 2 and 12 both have a common factor of 2, which cancels out.
After canceling out, we have (1/3) * (19/1) = 19/3.
Therefore, 2/3 divided by 12/19 equals 19/3.
Wrong
Apologies for the mistake.
To divide 2/3 by 12/19, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 12/19 is 19/12.
So, 2/3 divided by 12/19 is equal to (2/3) * (19/12).
To simplify this, we can cross-cancel the common factors. The factor 3 in the numerator and denominator of the first fraction cancels out with the factor 12 in the second fraction.
After canceling out, we have (2/1) * (19/1) = 38/1.
Therefore, 2/3 divided by 12/19 equals 38/1, which is equivalent to 38.
To divide 2/3 by 12/19, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 12/19 is 19/12.
So, 2/3 divided by 12/19 is equal to (2/3) * (19/12).
To simplify this, we can cross-cancel the common factors. The factor 3 in the numerator and denominator of the first fraction cancels out with the factor 12 in the second fraction.
After canceling out, we have (2/1) * (19/1) = 38/1.
Therefore, 2/3 divided by 12/19 equals 38/1, which is equivalent to 38.
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?
We can set up a proportion to solve the problem.
Let the number of avocados be x.
According to the recipe, the amount of lime juice needed is in a ratio of 1/4 cup for every 4 avocados.
So, the proportion is: 1/4 = 1 cup/x
To solve for x, cross-multiply:
1x = 4 * 1 cup
x = 4 cups
Therefore, Desiree needs 4 avocados to use 1 cup of lime juice.
Let the number of avocados be x.
According to the recipe, the amount of lime juice needed is in a ratio of 1/4 cup for every 4 avocados.
So, the proportion is: 1/4 = 1 cup/x
To solve for x, cross-multiply:
1x = 4 * 1 cup
x = 4 cups
Therefore, Desiree needs 4 avocados to use 1 cup of lime juice.
Uh that’s wrong
I apologize for the incorrect response. Let's correct the calculation.
In the recipe, it states that 1/4 cup of lime juice is needed for every 4 avocados.
If Desiree plans to use 1 cup of lime juice, we can set up a proportion:
(1/4) cup / 4 avocados = 1 cup / x avocados
To solve for x, we cross-multiply:
(1/4) * x = 1 * 4
x/4 = 4
Multiplying both sides by 4:
x = 16
Therefore, Desiree needs 16 avocados to use 1 cup of lime juice.
In the recipe, it states that 1/4 cup of lime juice is needed for every 4 avocados.
If Desiree plans to use 1 cup of lime juice, we can set up a proportion:
(1/4) cup / 4 avocados = 1 cup / x avocados
To solve for x, we cross-multiply:
(1/4) * x = 1 * 4
x/4 = 4
Multiplying both sides by 4:
x = 16
Therefore, Desiree needs 16 avocados to use 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?
To find out the time it will take for Rubio to get to his friend's house, we can use proportions:
Let's set up the proportion:
(2/3 mile)/(16 minutes) = 1 mile/x minutes
To solve for x, we cross-multiply:
(2/3) * x = 1 * 16
2x/3 = 16
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2x/3) * (3/2) = 16 * (3/2)
x = (48/2) = 24
Therefore, it will take Rubio 24 minutes to get to his friend's house.
Let's set up the proportion:
(2/3 mile)/(16 minutes) = 1 mile/x minutes
To solve for x, we cross-multiply:
(2/3) * x = 1 * 16
2x/3 = 16
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2x/3) * (3/2) = 16 * (3/2)
x = (48/2) = 24
Therefore, it will take Rubio 24 minutes to get to his friend's house.
Find the quotient of 9/10 and 2/3
A) 27/20
B) 18/30
C) 20/27
D) 30/18
A) 27/20
B) 18/30
C) 20/27
D) 30/18
To find the quotient of 9/10 and 2/3, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/3 is 3/2.
So, 9/10 divided by 2/3 is equal to (9/10) * (3/2).
To multiply fractions, we multiply the numerators and denominators separately:
(9 * 3) / (10 * 2) = 27/20.
Therefore, the quotient of 9/10 and 2/3 is 27/20, which corresponds to option A.
The reciprocal of 2/3 is 3/2.
So, 9/10 divided by 2/3 is equal to (9/10) * (3/2).
To multiply fractions, we multiply the numerators and denominators separately:
(9 * 3) / (10 * 2) = 27/20.
Therefore, the quotient of 9/10 and 2/3 is 27/20, which corresponds to option A.
What is 3/10 divided by 1/3?
A) 10/9
B) 9/10
C) 3/30
D) 10
A) 10/9
B) 9/10
C) 3/30
D) 10
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/3 is 3/1.
So, 3/10 divided by 1/3 is equal to (3/10) * (3/1).
To multiply fractions, we multiply the numerators and denominators separately:
(3 * 3) / (10 * 1) = 9/10.
Therefore, 3/10 divided by 1/3 is equal to 9/10, which corresponds to option B.
The reciprocal of 1/3 is 3/1.
So, 3/10 divided by 1/3 is equal to (3/10) * (3/1).
To multiply fractions, we multiply the numerators and denominators separately:
(3 * 3) / (10 * 1) = 9/10.
Therefore, 3/10 divided by 1/3 is equal to 9/10, which corresponds to option B.
Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will i take her to paint the entire room?
A) 9/4 hours
B) 4 hours
C) 6 hours
D) 12 hours
A) 9/4 hours
B) 4 hours
C) 6 hours
D) 12 hours
If Stacy can paint 3/4 of the bedroom in 3 hours, we need to find out how long it will take her to paint the remaining 1/4 of the bedroom.
Since the amount of work is directly proportional to the time it takes, we can set up a proportion.
Let x be the time it will take Stacy to paint the entire room. The proportion is:
(3/4) of the bedroom / 3 hours = (1/4) of the bedroom / x hours
To solve for x, we cross-multiply:
(3/4) * x = (1/4) * 3
(3/4) * x = 3/4
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
(3/4) * x * (4/3) = (3/4) * (4/3)
x = 3/1 = 3
Therefore, it will take Stacy 3 hours to paint the entire room, which corresponds to option B.
Since the amount of work is directly proportional to the time it takes, we can set up a proportion.
Let x be the time it will take Stacy to paint the entire room. The proportion is:
(3/4) of the bedroom / 3 hours = (1/4) of the bedroom / x hours
To solve for x, we cross-multiply:
(3/4) * x = (1/4) * 3
(3/4) * x = 3/4
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
(3/4) * x * (4/3) = (3/4) * (4/3)
x = 3/1 = 3
Therefore, it will take Stacy 3 hours to paint the entire room, which corresponds to option B.
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?
A) 6 hours
B) 12 hours
C) 8/3 hours
D) 8 hours
A) 6 hours
B) 12 hours
C) 8/3 hours
D) 8 hours
To find the total time it will take Miguel to reach his destination, we need to determine the time for the remaining 1/3 of the total distance.
Since the amount of distance is directly proportional to the time it takes, we can set up a proportion.
Let x be the total time it will take Miguel to reach his destination. The proportion is:
(2/3) of the distance / 4 hours = (1/3) of the distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
(2/3) * x = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3) * x * (3/2) = (4/3) * (3/2)
x = 4/2 = 2
Therefore, it will take Miguel a total of 2 hours to reach his destination.
Since the amount of distance is directly proportional to the time it takes, we can set up a proportion.
Let x be the total time it will take Miguel to reach his destination. The proportion is:
(2/3) of the distance / 4 hours = (1/3) of the distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
(2/3) * x = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3) * x * (3/2) = (4/3) * (3/2)
x = 4/2 = 2
Therefore, it will take Miguel a total of 2 hours to reach his destination.
That’s not an option
Apologies for the error. Let's correct the calculation.
If Miguel has driven 2/3 of the total distance in 4 hours, we need to find out the total time it will take him to reach his destination.
Let x be the total time it will take for Miguel to complete the drive. The proportion is:
(2/3) distance / 4 hours = (1/3) distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
2x/3 = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2x/3) * (3/2) = (4/3) * (3/2)
x = (4/3) * (3/2)
x = 4/2
x = 2
Therefore, it will take Miguel a total of 2 hours to reach his destination, which corresponds to option D.
If Miguel has driven 2/3 of the total distance in 4 hours, we need to find out the total time it will take him to reach his destination.
Let x be the total time it will take for Miguel to complete the drive. The proportion is:
(2/3) distance / 4 hours = (1/3) distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
2x/3 = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2x/3) * (3/2) = (4/3) * (3/2)
x = (4/3) * (3/2)
x = 4/2
x = 2
Therefore, it will take Miguel a total of 2 hours to reach his destination, which corresponds to option D.
Bro here are the options
A) 6 hours
B) 12 hours
C) 8/3 hours
D) 8 hours
A) 6 hours
B) 12 hours
C) 8/3 hours
D) 8 hours
Apologies for the oversight. Let's determine the correct option.
If Miguel has already driven 2/3 of the total distance in 4 hours, we can set up a proportion to find the total time it will take him to reach his destination.
Let x be the total time it will take for Miguel to complete the drive. The proportion is:
(2/3) distance / 4 hours = (1/3) distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
(2/3) * x = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3) * x * (3/2) = (4/3) * (3/2)
x = (4/3) * (3/2)
x = 4/2
x = 2
Therefore, it will take Miguel a total of 2 hours to reach his destination. None of the given options accurately represents this answer.
If Miguel has already driven 2/3 of the total distance in 4 hours, we can set up a proportion to find the total time it will take him to reach his destination.
Let x be the total time it will take for Miguel to complete the drive. The proportion is:
(2/3) distance / 4 hours = (1/3) distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
(2/3) * x = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3) * x * (3/2) = (4/3) * (3/2)
x = (4/3) * (3/2)
x = 4/2
x = 2
Therefore, it will take Miguel a total of 2 hours to reach his destination. None of the given options accurately represents this answer.
Bro I just told you that “2” isn’t and option
Apologies for the mistake. Let's reevaluate the options and provide the correct answer.
If Miguel has driven 2/3 of the distance in 4 hours, the total time it will take him to reach his destination can be found by setting up a proportion.
Let x represent the total time. The proportion is:
(2/3) distance / 4 hours = (1/3) distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
2x/3 = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2x/3) * (3/2) = (4/3) * (3/2)
x = 4/2
x = 2
Therefore, the correct answer is not listed among the given options. Apologies for the confusion caused.
If Miguel has driven 2/3 of the distance in 4 hours, the total time it will take him to reach his destination can be found by setting up a proportion.
Let x represent the total time. The proportion is:
(2/3) distance / 4 hours = (1/3) distance / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 4
2x/3 = 4/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2x/3) * (3/2) = (4/3) * (3/2)
x = 4/2
x = 2
Therefore, the correct answer is not listed among the given options. Apologies for the confusion caused.
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?
A) 1 1/2
B) 1 hour
C) 1/2 hours
D) 2/3 hours
A) 1 1/2
B) 1 hour
C) 1/2 hours
D) 2/3 hours
To find out how long it will take Iris to complete the entire floor, we can set up a proportion.
Let x be the total time it will take her. The proportion is:
(2/3) of the floor / (1/3) hour = 1 whole floor / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 1
(2/3) * x = 1/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3) * x * (3/2) = (1/3) * (3/2)
x = 1/1 = 1
Therefore, it will take Iris 1 hour to complete the entire floor, which corresponds to option B.
Let x be the total time it will take her. The proportion is:
(2/3) of the floor / (1/3) hour = 1 whole floor / x hours
To solve for x, we cross-multiply:
(2/3) * x = (1/3) * 1
(2/3) * x = 1/3
Now, to isolate x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3) * x * (3/2) = (1/3) * (3/2)
x = 1/1 = 1
Therefore, it will take Iris 1 hour to complete the entire floor, which corresponds to option B.
7 answers