Find the quotient of 1/2 and 12/7.(1 point)
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.
What is 5/6÷6/7?(1 point)
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.
What is 2/3÷12/19?(1 point)
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.
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)
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.
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)
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.