What is 5/6÷6/7
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 6/7 is 7/6.
So, 5/6 ÷ 6/7 can be rewritten as 5/6 * 7/6.
Multiplying numerators and denominators, we get:
(5 * 7) / (6 * 6) = 35/36.
Therefore, 5/6 ÷ 6/7 is equal to 35/36.
What is 2/3 ÷ 12/19
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 12/19 is 19/12.
So, 2/3 ÷ 12/19 can be rewritten as 2/3 * 19/12.
Multiplying numerators and denominators, we get:
(2 * 19) / (3 * 12) = 38/36.
The fraction 38/36 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:
38 ÷ 2 / 36 ÷ 2 = 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 four avocados if she uses plans to use one cup of lime juice how many avocados does she need
If the recipe calls for 1/4 cup of lime juice for every 4 avocados, and Desiree plans to use 1 cup of lime juice, we can set up a proportion to find how many avocados she needs.
Let x be the number of avocados needed.
According to the given ratio:
(1/4) cup lime juice : 4 avocados = 1 cup lime juice : x avocados
Using cross-multiplication, we can solve for x:
(1/4) * x = 1 * 4
x/4 = 4
Multiplying both sides by 4:
x = 16
Therefore, Desiree would need 16 avocados if she plans to use 1 cup of lime juice.
Rubio decides he is going to walk to his friend's house which is one mile from his house he can walk at a pace of 2/3 in mile and 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 based on his walking pace.
Rubio's walking pace is 2/3 mile in 16 minutes.
Let x be the unknown time it takes him to walk 1 mile.
Setting up the proportion:
(2/3) mile : 16 minutes = 1 mile : x minutes
Using cross-multiplication, we can solve for x:
(2/3) * x = 16 * 1
(2/3) * x = 16
Multiplying both sides by (3/2):
x = 16 * (3/2)
x = 24
Therefore, it will take Rubio 24 minutes to walk to his friend's house, which is one mile away.
Find the quotient of 9/10 and 2/3
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/3 is 3/2.
So, 9/10 ÷ 2/3 can be rewritten as 9/10 * 3/2.
Multiplying the numerators and the denominators, we get:
(9 * 3) / (10 * 2) = 27/20.
Therefore, the quotient of 9/10 and 2/3 is 27/20.
What is 3/10 / 1/3
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/3 is 3/1 or simply 3.
So, 3/10 ÷ 1/3 can be rewritten as 3/10 * 3.
Multiplying the numerators and denominators, we get:
(3 * 3) / (10 * 1) = 9/10.
Therefore, 3/10 ÷ 1/3 is equal to 9/10.
Stacy is painting in 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 find out how long it will take her to paint the entire room.
Let x be the unknown time it takes her to paint the entire room.
Setting up the proportion:
(3/4) of the bedroom : 3 hours = 1 full bedroom : x hours
Using cross-multiplication, we can solve for x:
(3/4) * x = 1 * 3
(3/4) * x = 3
Multiplying both sides by (4/3):
x = 3 * (4/3)
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 it'll take at this rate what was 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 find the total time it will take him to reach his destination.
Let x be the unknown total time to reach his destination.
Setting up the proportion:
2/3 of the distance : 4 hours = 1 full distance : x hours
Using cross-multiplication, we can solve for x:
(2/3) * x = 4 * 1
(2/3) * x = 4
Multiplying both sides by (3/2):
x = 4 * (3/2)
x = 6
Therefore, it will take Miguel a total of 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 another and repeating the pattern until she has covered the entire floor she completes 2/3 of the floor and 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 find out how long it will take her to complete the entire floor.
Let x be the unknown time it takes her to complete the entire floor.
Setting up the proportion:
2/3 of the floor : 1/3 of an hour = 1 full floor : x hours
Using cross-multiplication, we can solve for x:
(2/3) * x = (1/3) * 1
(2/3) * x = 1/3
Multiplying both sides by (3/2):
x = (1/3) * (3/2)
x = 1/2
Therefore, it will take Iris 1/2 hour or 30 minutes to complete the entire floor.