To divide fractions, you invert the second fraction (flipping the numerator and denominator), then multiply the fractions.
Therefore, 2/3 ÷ 12/19 becomes 2/3 * 19/12.
Cancel out common factors if possible:
2/3 * 19/12 = 2/1 * 19/4 = 38/4.
Simplify the fraction if possible:
38/4 = 19/2.
So, 2/3 ÷ 12/19 is equal to 19/2.
2/3÷12/19
17 answers
Desiree is making guacamole for a party. The recipe she is using calls for 14 cup lime juice for every 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need?
To find the number of avocados Desiree needs, we can set up a proportion.
The ratio of lime juice to avocados in the recipe is 14 cups of lime juice for every 4 avocados.
Let's set up the proportion: 14 cups of lime juice / 4 avocados = 1 cup of lime juice / x avocados.
Cross-multiplying:
14 cups of lime juice * x avocados = 4 avocados * 1 cup of lime juice.
14x = 4.
To solve for x, divide both sides by 14:
x = 4 / 14.
Simplifying the fraction:
x = 2 / 7.
Therefore, Desiree needs 2/7 of an avocado or approximately 0.286 avocados to make 1 cup of lime juice.
The ratio of lime juice to avocados in the recipe is 14 cups of lime juice for every 4 avocados.
Let's set up the proportion: 14 cups of lime juice / 4 avocados = 1 cup of lime juice / x avocados.
Cross-multiplying:
14 cups of lime juice * x avocados = 4 avocados * 1 cup of lime juice.
14x = 4.
To solve for x, divide both sides by 14:
x = 4 / 14.
Simplifying the fraction:
x = 2 / 7.
Therefore, Desiree needs 2/7 of an avocado or approximately 0.286 avocados to make 1 cup of lime juice.
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?
To find the number of avocados Desiree needs, we can set up a proportion.
The ratio of lime juice to avocados in the recipe is 1/4 cup of lime juice for every 4 avocados.
Let's set up the proportion: (1/4) cup of lime juice / 4 avocados = 1 cup of lime juice / x avocados.
Cross-multiplying:
(1/4) cup of lime juice * x avocados = 4 avocados * 1 cup of lime juice.
x/4 = 4.
To solve for x, we can multiply both sides by 4:
x = 4 * 4.
x = 16.
Therefore, Desiree needs 16 avocados to make 1 cup of lime juice.
The ratio of lime juice to avocados in the recipe is 1/4 cup of lime juice for every 4 avocados.
Let's set up the proportion: (1/4) cup of lime juice / 4 avocados = 1 cup of lime juice / x avocados.
Cross-multiplying:
(1/4) cup of lime juice * x avocados = 4 avocados * 1 cup of lime juice.
x/4 = 4.
To solve for x, we can multiply both sides by 4:
x = 4 * 4.
x = 16.
Therefore, Desiree needs 16 avocados to make 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 how long it will take Rubio to get to his friend's house, we can set up a proportion.
Rubio can walk at a pace of 2/3 mile in 16 minutes.
Let's set up the proportion: (2/3) mile / 16 minutes = 1 mile / x minutes.
Cross-multiplying:
(2/3) mile * x minutes = 16 minutes * 1 mile.
2x = 16.
To solve for x, divide both sides by 2:
x = 16 / 2.
x = 8.
Therefore, it will take Rubio 8 minutes to walk to his friend's house.
Rubio can walk at a pace of 2/3 mile in 16 minutes.
Let's set up the proportion: (2/3) mile / 16 minutes = 1 mile / x minutes.
Cross-multiplying:
(2/3) mile * x minutes = 16 minutes * 1 mile.
2x = 16.
To solve for x, divide both sides by 2:
x = 16 / 2.
x = 8.
Therefore, it will take Rubio 8 minutes to walk to his friend's house.
Find the quotient of 9/10 and 2/3
To find the quotient of two fractions, you invert the second fraction (flipping the numerator and denominator), then multiply the fractions.
Therefore, 9/10 ÷ 2/3 becomes 9/10 * 3/2.
Multiply the numerators together: 9 * 3 = 27.
Multiply the denominators together: 10 * 2 = 20.
So, the quotient of 9/10 and 2/3 is 27/20.
Therefore, 9/10 ÷ 2/3 becomes 9/10 * 3/2.
Multiply the numerators together: 9 * 3 = 27.
Multiply the denominators together: 10 * 2 = 20.
So, the quotient of 9/10 and 2/3 is 27/20.
What is 31/0÷1/3 ?
The expression 31/0 is undefined because division by zero is not possible. Since division by zero is undefined, we cannot further evaluate the expression.
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 can paint 3/4 of the bedroom in 3 hours, we can determine the time it takes her to paint the entire room by setting up a proportion.
Let's set up the proportion: (3/4) bedroom / 3 hours = 1 bedroom / x hours.
Cross-multiplying:
(3/4) bedroom * x hours = 3 hours * 1 bedroom.
3x/4 = 3.
To solve for x, we can multiply both sides by 4/3:
x = 3 * (4/3).
Simplifying the fraction:
x = 4.
Therefore, it will take Stacy 4 hours to paint the entire room.
Let's set up the proportion: (3/4) bedroom / 3 hours = 1 bedroom / x hours.
Cross-multiplying:
(3/4) bedroom * x hours = 3 hours * 1 bedroom.
3x/4 = 3.
To solve for x, we can multiply both sides by 4/3:
x = 3 * (4/3).
Simplifying the fraction:
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 determine the total time it will take him to reach his destination by setting up a proportion.
Let x represent the total time in hours it will take him to reach his destination.
We can set up the proportion: (2/3) distance / 4 hours = 1 distance / x hours.
Cross-multiplying:
(2/3) distance * x hours = 4 hours * 1 distance.
2x/3 = 4.
To solve for x, we can multiply both sides by 3/2:
x = 4 * (3/2).
Simplifying the fraction:
x = 6.
Therefore, it will take Miguel 6 hours to reach his destination.
Let x represent the total time in hours it will take him to reach his destination.
We can set up the proportion: (2/3) distance / 4 hours = 1 distance / x hours.
Cross-multiplying:
(2/3) distance * x hours = 4 hours * 1 distance.
2x/3 = 4.
To solve for x, we can multiply both sides by 3/2:
x = 4 * (3/2).
Simplifying the fraction:
x = 6.
Therefore, it will take Miguel 6 hours to reach his destination.
ris 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 Kris completes 2/3 of the floor in 1/3 of an hour, we can determine how long it will take her to complete the entire floor by setting up a proportion.
Let x represent the total time in hours it will take her to complete the entire floor.
We can set up the proportion: (2/3) floor / (1/3) hour = 1 floor / x hours.
Cross-multiplying:
(2/3) floor * x hours = (1/3) hour * 1 floor.
2x/3 = 1/3.
To solve for x, we can multiply both sides by 3/2:
x = (1/3) * (3/2).
Simplifying the fraction:
x = 1/2.
Therefore, it will take Kris 1/2 hour to complete the entire floor.
Let x represent the total time in hours it will take her to complete the entire floor.
We can set up the proportion: (2/3) floor / (1/3) hour = 1 floor / x hours.
Cross-multiplying:
(2/3) floor * x hours = (1/3) hour * 1 floor.
2x/3 = 1/3.
To solve for x, we can multiply both sides by 3/2:
x = (1/3) * (3/2).
Simplifying the fraction:
x = 1/2.
Therefore, it will take Kris 1/2 hour to complete the entire floor.