Question
Find the quotient of 1/2 and 12/7.(1 point)
Answers
Answer
What is 5/6÷6/7?(1 point)
Answer
What is 2/3÷12/19?(1 point)
Answer
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?(1 point)
Answer
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)
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Find the quotient of 9/10 and 2/3.(1 point)
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What is 3/10÷1/3?(1 point)
Responses
Responses
Answer
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)
Answer
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)
Answered by
GPT 3.5
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 12/7 is 7/12.
Multiplying 1/2 by 7/12, we get:
(1/2) * (7/12) = (1*7)/(2*12) = 7/24
Therefore, the quotient of 1/2 and 12/7 is 7/24.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 12/7 is 7/12.
Multiplying 1/2 by 7/12, we get:
(1/2) * (7/12) = (1*7)/(2*12) = 7/24
Therefore, the quotient of 1/2 and 12/7 is 7/24.
Answered by
GPT 3.5
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 6/7 is 7/6.
Multiplying 5/6 by 7/6, we get: (5/6) * (7/6) = (5 * 7) / (6 * 6) = 35/36
Therefore, the result of 5/6 ÷ 6/7 is 35/36.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 6/7 is 7/6.
Multiplying 5/6 by 7/6, we get: (5/6) * (7/6) = (5 * 7) / (6 * 6) = 35/36
Therefore, the result of 5/6 ÷ 6/7 is 35/36.
Answered by
GPT 3.5
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 12/19 is 19/12.
Multiplying 2/3 by 19/12, we get:
(2/3) * (19/12) = (2 * 19) / (3 * 12) = 38/36
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
Dividing 38/2 and 36/2, we get: (38/2) / (36/2) = 19/18
Therefore, the result of 2/3 ÷ 12/19 is 19/18.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 12/19 is 19/12.
Multiplying 2/3 by 19/12, we get:
(2/3) * (19/12) = (2 * 19) / (3 * 12) = 38/36
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
Dividing 38/2 and 36/2, we get: (38/2) / (36/2) = 19/18
Therefore, the result of 2/3 ÷ 12/19 is 19/18.
Answered by
GPT 3.5
Based on the recipe, Desiree needs 1/4 cup of lime juice for every 4 avocados.
If she plans to use 1 cup of lime juice, we can set up a proportion to determine the number of avocados she needs.
Let x be the number of avocados Desiree needs.
Using a proportion, we have:
(1/4 cup lime juice)/(4 avocados) = (1 cup lime juice)/x avocados
Cross-multiplying, we get:
(1/4) * x = (1 * 4)
x/4 = 4
Multiplying both sides of the equation by 4, we find:
x = 16
Therefore, Desiree needs 16 avocados for 1 cup of lime juice.
If she plans to use 1 cup of lime juice, we can set up a proportion to determine the number of avocados she needs.
Let x be the number of avocados Desiree needs.
Using a proportion, we have:
(1/4 cup lime juice)/(4 avocados) = (1 cup lime juice)/x avocados
Cross-multiplying, we get:
(1/4) * x = (1 * 4)
x/4 = 4
Multiplying both sides of the equation by 4, we find:
x = 16
Therefore, Desiree needs 16 avocados for 1 cup of lime juice.
Answered by
GPT 3.5
We can set up a proportion to find out how long it will take Rubio to get to his friend's house.
Since Rubio can walk at a pace of 2/3 mile in 16 minutes, we can write the proportion as:
(2/3 mile) / (16 minutes) = (1 mile) / (x minutes)
Cross-multiplying, we get:
(2/3) * x = 1 * 16
2x/3 = 16
Multiplying both sides of the equation by 3/2, we find:
x = 16 * 3/2
x = 24 minutes
Therefore, it will take Rubio 24 minutes to get to his friend's house at this rate.
Since Rubio can walk at a pace of 2/3 mile in 16 minutes, we can write the proportion as:
(2/3 mile) / (16 minutes) = (1 mile) / (x minutes)
Cross-multiplying, we get:
(2/3) * x = 1 * 16
2x/3 = 16
Multiplying both sides of the equation by 3/2, we find:
x = 16 * 3/2
x = 24 minutes
Therefore, it will take Rubio 24 minutes to get to his friend's house at this rate.
Answered by
GPT 3.5
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 2/3 is 3/2.
Multiplying 9/10 by 3/2, we get:
(9/10) * (3/2) = (9 * 3) / (10 * 2) = 27/20
Therefore, the quotient of 9/10 and 2/3 is 27/20.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 2/3 is 3/2.
Multiplying 9/10 by 3/2, we get:
(9/10) * (3/2) = (9 * 3) / (10 * 2) = 27/20
Therefore, the quotient of 9/10 and 2/3 is 27/20.
Answered by
GPT 3.5
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 1/3 is 3/1.
Multiplying 3/10 by 3/1, we get:
(3/10) * (3/1) = (3 * 3) / (10 * 1) = 9/10
Therefore, the quotient of 3/10 and 1/3 is 9/10.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 1/3 is 3/1.
Multiplying 3/10 by 3/1, we get:
(3/10) * (3/1) = (3 * 3) / (10 * 1) = 9/10
Therefore, the quotient of 3/10 and 1/3 is 9/10.
Answered by
GPT 3.5
Since Stacy can paint 3/4 of the bedroom in 3 hours, we need to find out how long it will take her to paint 1 whole bedroom.
To find this, we can set up a proportion:
(3/4 bedroom) / (3 hours) = (1 bedroom) / (x hours)
Cross-multiplying, we get:
(3/4) * x = 1 * 3
3x/4 = 3
Multiplying both sides of the equation by 4/3, we find:
x = 3 * 4/3
x = 4 hours
Therefore, it will take Stacy 4 hours to paint the entire room at this rate.
To find this, we can set up a proportion:
(3/4 bedroom) / (3 hours) = (1 bedroom) / (x hours)
Cross-multiplying, we get:
(3/4) * x = 1 * 3
3x/4 = 3
Multiplying both sides of the equation by 4/3, we find:
x = 3 * 4/3
x = 4 hours
Therefore, it will take Stacy 4 hours to paint the entire room at this rate.
Answered by
GPT 3.5
If Miguel has driven 2/3 of the total distance in 4 hours, we need to find out how long the total drive will take.
To find this, we can set up a proportion:
(2/3 distance) / (4 hours) = (1 distance) / (x hours)
Cross-multiplying, we get:
(2/3) * x = 1 * 4
2x/3 = 4
Multiplying both sides of the equation by 3/2, we find:
x = 4 * 3/2
x = 6 hours
Therefore, it will take Miguel 6 hours to reach his destination at this rate.
To find this, we can set up a proportion:
(2/3 distance) / (4 hours) = (1 distance) / (x hours)
Cross-multiplying, we get:
(2/3) * x = 1 * 4
2x/3 = 4
Multiplying both sides of the equation by 3/2, we find:
x = 4 * 3/2
x = 6 hours
Therefore, it will take Miguel 6 hours to reach his destination at this rate.
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