To find the quotient of two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 12/7 is 7/12.
Therefore, the quotient of 1/2 and 12/7 is:
(1/2) * (7/12) = 7/24
Find the quotient of 1/2
and 12/7
.(1 point)
25 answers
What is 56÷67
?
?
To find the quotient of 56 divided by 67, you perform the division operation:
56 ÷ 67 = 0.8358208955
Rounded to the nearest hundredth, the quotient is approximately 0.84.
56 ÷ 67 = 0.8358208955
Rounded to the nearest hundredth, the quotient is approximately 0.84.
What is 5/6÷6/7
?
?
To find the quotient of two fractions, you multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 6/7 is 7/6.
Therefore, the quotient of 5/6 ÷ 6/7 is:
(5/6) * (7/6) = 35/36
The reciprocal of 6/7 is 7/6.
Therefore, the quotient of 5/6 ÷ 6/7 is:
(5/6) * (7/6) = 35/36
What is 2/3÷12/19
?
?
To find the quotient of 2/3 divided by 12/19, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 12/19 is 19/12.
Therefore, the quotient of 2/3 ÷ 12/19 is:
(2/3) * (19/12) = 38/36
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
38 ÷ 2 / 36 ÷ 2 = 19/18
So, the quotient of 2/3 ÷ 12/19 is 19/18.
The reciprocal of 12/19 is 19/12.
Therefore, the quotient of 2/3 ÷ 12/19 is:
(2/3) * (19/12) = 38/36
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
38 ÷ 2 / 36 ÷ 2 = 19/18
So, the quotient of 2/3 ÷ 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?(
cup lime juice for every 4 avocados. If she plans to use 1 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, we can set up a proportion to find out how many avocados are needed for 1 cup of lime juice.
Let "x" represent the number of avocados needed.
(1/4) / 4 = 1 / x
To solve the proportion, we cross-multiply:
4 * 1 = (1/4) * x
4 = x / 4
To isolate "x", we can multiply both sides of the equation by 4:
4 * 4 = x
16 = x
Therefore, Desiree would need 16 avocados to use 1 cup of lime juice.
Let "x" represent the number of avocados needed.
(1/4) / 4 = 1 / x
To solve the proportion, we cross-multiply:
4 * 1 = (1/4) * x
4 = x / 4
To isolate "x", we can multiply both sides of the equation by 4:
4 * 4 = x
16 = x
Therefore, Desiree would need 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 23
mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)
mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)
To find out how long it will take Rubio to walk to his friend's house, we can set up a proportion using the given information.
Let "t" represent the time it takes for Rubio to walk to his friend's house.
We can set up the proportion: 23 miles / 16 minutes = 1 mile / t minutes
To solve for "t", we cross-multiply:
23 * t = 1 * 16
23t = 16
To isolate "t", divide both sides of the equation by 23:
t = 16 / 23
Using a calculator or rounding to the nearest hundredth, we find that t ≈ 0.70.
Therefore, it will take Rubio approximately 0.70 minutes, or about 42 seconds, to walk to his friend's house.
Let "t" represent the time it takes for Rubio to walk to his friend's house.
We can set up the proportion: 23 miles / 16 minutes = 1 mile / t minutes
To solve for "t", we cross-multiply:
23 * t = 1 * 16
23t = 16
To isolate "t", divide both sides of the equation by 23:
t = 16 / 23
Using a calculator or rounding to the nearest hundredth, we find that t ≈ 0.70.
Therefore, it will take Rubio approximately 0.70 minutes, or about 42 seconds, to walk to his friend's house.
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?(1 point)
mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)
To find out how long it will take Rubio to walk to his friend's house, we can set up a proportion using the given information.
Let "t" represent the time it takes for Rubio to walk to his friend's house.
We can set up the proportion: (2/3) mile / 16 minutes = 1 mile / t minutes
To solve for "t", we cross-multiply:
(2/3) * t = 1 * 16
2t = 48/3
2t = 16
Dividing both sides of the equation by 2:
t = 8
Therefore, it will take Rubio 8 minutes to walk to his friend's house.
Let "t" represent the time it takes for Rubio to walk to his friend's house.
We can set up the proportion: (2/3) mile / 16 minutes = 1 mile / t minutes
To solve for "t", we cross-multiply:
(2/3) * t = 1 * 16
2t = 48/3
2t = 16
Dividing both sides of the equation by 2:
t = 8
Therefore, it will take Rubio 8 minutes to walk to his friend's house.
Find the quotient of 9/10 and 2/3 .(1 point)
Responses
Start Fraction 30 over 18 End Fraction
Start Fraction 27 over 20 End Fraction
Start Fraction 18 over 30 End Fraction
20/27
Responses
Start Fraction 30 over 18 End Fraction
Start Fraction 27 over 20 End Fraction
Start Fraction 18 over 30 End Fraction
20/27
To find the quotient of two fractions, we need to multiply 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) = 27/20
So, the quotient is 27/20.
The reciprocal of 2/3 is 3/2.
Therefore, the quotient of 9/10 and 2/3 is:
(9/10) * (3/2) = 27/20
So, the quotient is 27/20.
What is 3/10÷1/3 ?(1 point)
Responses
10
10
109
Start Fraction 10 over 9 End Fraction
330
Start Fraction 3 over 30 End Fraction
910
Responses
10
10
109
Start Fraction 10 over 9 End Fraction
330
Start Fraction 3 over 30 End Fraction
910
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
To find 3/10 ÷ 1/3, we can rewrite it as (3/10) * (3/1), since the reciprocal of 1/3 is 3/1.
Multiplying the fractions gives us:
(3/10) * (3/1) = 9/10
So, the quotient is 9/10.
To find 3/10 ÷ 1/3, we can rewrite it as (3/10) * (3/1), since the reciprocal of 1/3 is 3/1.
Multiplying the fractions gives us:
(3/10) * (3/1) = 9/10
So, the quotient 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?(1 point)
Responses
4 hours
4 hours
12 hours
12 hours
94 hours
Start Fraction 9 over 4 End Fraction hours
6 hours
Responses
4 hours
4 hours
12 hours
12 hours
94 hours
Start Fraction 9 over 4 End Fraction hours
6 hours
To find out how long it will take Stacy to paint the entire room, we can set up a proportion using the given information.
Let "t" represent the time it takes for Stacy to paint the entire room.
We can set up the proportion: (3/4) of the room / 3 hours = 1 room / t hours
To solve for "t", we cross-multiply:
(3/4) * t = 1 * 3
3t = 12
Dividing both sides of the equation by 3:
t = 4
Therefore, it will take Stacy 4 hours to paint the entire room.
Let "t" represent the time it takes for Stacy to paint the entire room.
We can set up the proportion: (3/4) of the room / 3 hours = 1 room / t hours
To solve for "t", we cross-multiply:
(3/4) * t = 1 * 3
3t = 12
Dividing both sides of the equation by 3:
t = 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?(1 point)
Responses
12 hours
12 hours
6 hours
6 hours
83 hours
Start Fraction 8 over 3 End Fraction hours
8 hours
Responses
12 hours
12 hours
6 hours
6 hours
83 hours
Start Fraction 8 over 3 End Fraction hours
8 hours
To find out how long the total drive will take Miguel, we can set up a proportion using the given information.
Let "t" represent the total time it will take Miguel to reach his destination.
We can set up the proportion: (2/3) of the distance / 4 hours = 1 distance / t hours
To solve for "t", we cross-multiply:
(2/3) * t = 1 * 4
2t = 12
Dividing both sides of the equation by 2:
t = 6
Therefore, it will take Miguel a total of 6 hours to reach his destination.
Let "t" represent the total time it will take Miguel to reach his destination.
We can set up the proportion: (2/3) of the distance / 4 hours = 1 distance / t hours
To solve for "t", we cross-multiply:
(2/3) * t = 1 * 4
2t = 12
Dividing both sides of the equation by 2:
t = 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 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?(1 point)
Responses
112
1 Start Fraction 1 over 2 End Fraction
1 hour
1 hour
23 hours
Start Fraction 2 over 3 End Fraction hours
12 hours
Responses
112
1 Start Fraction 1 over 2 End Fraction
1 hour
1 hour
23 hours
Start Fraction 2 over 3 End Fraction hours
12 hours
To find out how long it will take Iris to complete the entire floor, we can set up a proportion using the given information.
Let "t" represent the time it will take Iris to complete the entire floor.
We can set up the proportion: (2/3) of the floor / (1/3) of an hour = 1 floor / t hours
To solve for "t", we invert and multiply:
(2/3) * (1/3) = 1 * t
(2/3) * (1/3) = t
Multiplying the numerators and denominators:
2/9 = t
Therefore, it will take Iris 2/9 of an hour, which is approximately 0.22 hours or about 13 minutes, to complete the entire floor.
Let "t" represent the time it will take Iris to complete the entire floor.
We can set up the proportion: (2/3) of the floor / (1/3) of an hour = 1 floor / t hours
To solve for "t", we invert and multiply:
(2/3) * (1/3) = 1 * t
(2/3) * (1/3) = t
Multiplying the numerators and denominators:
2/9 = t
Therefore, it will take Iris 2/9 of an hour, which is approximately 0.22 hours or about 13 minutes, to complete the entire floor.
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 23 of the floor in 1/3 of an hour. At this rate, how long will it take her to complete the entire floor?(1 point)
Responses
112
1 Start Fraction 1 over 2 End Fraction
1 hour
1 hour
23 hours
Start Fraction 2 over 3 End Fraction hours
12 hours
Responses
112
1 Start Fraction 1 over 2 End Fraction
1 hour
1 hour
23 hours
Start Fraction 2 over 3 End Fraction hours
12 hours
To find out how long it will take Iris to complete the entire floor, we can set up a proportion using the given information.
Let "t" represent the time it will take Iris to complete the entire floor.
We can set up the proportion: 2/3 of the floor / 1/3 of an hour = 1 floor / t hours
To solve for "t", we invert and multiply:
(2/3) * (3/1) = 1 * t
(2/3) * (3/1) = t
Multiplying the numerators and denominators:
6/3 = t
Simplifying, we find that t = 2.
Therefore, it will take Iris 2 hours to complete the entire floor.
Let "t" represent the time it will take Iris to complete the entire floor.
We can set up the proportion: 2/3 of the floor / 1/3 of an hour = 1 floor / t hours
To solve for "t", we invert and multiply:
(2/3) * (3/1) = 1 * t
(2/3) * (3/1) = t
Multiplying the numerators and denominators:
6/3 = t
Simplifying, we find that t = 2.
Therefore, it will take Iris 2 hours to complete the entire floor.
1 answer