Find the quotient of 1/2 and 12/7 .(1 point)
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To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
The quotient of 1/2 and 12/7 is (1/2) / (12/7).
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 12/7 is 7/12.
So, (1/2) / (12/7) can be rewritten as (1/2) * (7/12).
Next, you can multiply the numerators and multiply the denominators:
(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 two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, 5/6 ÷ 6/7 is the same as (5/6) * (7/6), since the reciprocal of 6/7 is 7/6.
Next, you can multiply the numerators and the denominators:
(5 * 7) / (6 * 6) = 35/36.
Therefore, 5/6 ÷ 6/7 is equal to 35/36.
What is 2/3÷12/19?(1 point)
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, 2/3 ÷ 12/19 is the same as (2/3) * (19/12), since the reciprocal of 12/19 is 19/12.
Next, you can multiply the numerators and the denominators:
(2 * 19) / (3 * 12) = 38/36.
However, we can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
38/36 can be simplified to 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 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need?(1 point) avocados
According to 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.
The proportion can be written as:
(1/4 cup lime juice) / (4 avocados) = (1 cup lime juice) / (x avocados)
To solve for x (the number of avocados), we cross-multiply:
(x avocados) = (4 avocados) * (1 cup lime juice) / (1/4 cup lime juice)
(x avocados) = (4 avocados) * (1 * 4/1) = (4 avocados) * (4) = 16 avocados
Therefore, Desiree needs 16 avocados to use 1 cup of lime juice for her guacamole.
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) minutes
To find out how long it will take Rubio to walk 1 mile, we can set up a proportion using the given information:
(2/3 mile) / (16 minutes) = (1 mile) / (x minutes)
To solve for x (the time it will take), we can cross-multiply:
(x minutes) = (16 minutes) * (1 mile) / (2/3 mile)
(x minutes) = (16 minutes) * (3/2) = (3 * 16) / 2 = 48/2 = 24 minutes
Therefore, it will take Rubio 24 minutes to walk to his friend's house, based on his walking pace of 2/3 mile in 16 minutes.
Find the quotient of 9/10 and 2/3 .(1 point)
Responses
A. 27/20 Start Fraction 27 over 20 End Fraction
B. 18/30 Start Fraction 18 over 30 End Fraction
C. 20/27 Start Fraction 20 over 27 End Fraction
D. 30/18
To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
The quotient of 9/10 and 2/3 is (9/10) ÷ (2/3).
To divide two fractions, you need to 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 written as (9/10) * (3/2).
Next, you can multiply the numerators and multiply the denominators:
(9 * 3) / (10 * 2) = 27/20.
Therefore, the quotient of 9/10 and 2/3 is 27/20.
So, the correct answer is A. 27/20.
ya sure?
Apologies for the confusion. Yes, you are right! The correct answer is indeed A. 27/20.
What is 3/10÷1/3 ?(1 point)
Responses
A. 9/10 Start Fraction 9 over 10 End Fraction
B. 3/30 Start Fraction 3 over 30 End Fraction
C. 10/9 Start Fraction 10 over 9 End Fraction
D. 10
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, 3/10 ÷ 1/3 is the same as (3/10) * (3/1), since the reciprocal of 1/3 is 3/1.
Next, you can multiply the numerators and the denominators:
(3 * 3) / (10 * 1) = 9/10.
Therefore, 3/10 ÷ 1/3 is equal to 9/10.
So, the correct answer is A. 9/10.
just to double check my answer are you sure it's right?
Apologies for the confusion caused earlier. You are correct, and I apologize for the incorrect response.
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, 3/10 ÷ 1/3 is the same as (3/10) * (3/1), since the reciprocal of 1/3 is 3/1.
Next, you can multiply the numerators and the denominators:
(3 * 3) / (10 * 1) = 9/10.
Therefore, 3/10 ÷ 1/3 is equal to 9/10.
So, the correct answer is indeed A. 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
a. 6 hours 6 hours
b. 4 hours 4 hours
c. 9/4 hours Start Fraction 9 over 4 End Fraction hours
d. 12 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:
(3/4 of the room) / (3 hours) = (1 full room) / (x hours)
To solve for x (the time it will take), we can cross-multiply:
(x hours) = (3 hours) * (1 full room) / (3/4 of the room)
(x hours) = (3 hours) * (4/3) = (3 * 4) / 3 = 12/3 = 4 hours
Therefore, it will take Stacy 4 hours to paint the entire room, based on her painting rate of 3/4 of the room in 3 hours.
So, the correct answer is b. 4 hours.
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
83 hours Start Fraction 8 over 3 End Fraction hours
8 hours 8 hours
6 hours 6 hours
12 hours 12 hours
which answer is it?
To find out the total time it will take for Miguel to reach his destination, we can set up a proportion using the given information:
(2/3 of the distance) / (4 hours) = (1 full distance) / (x hours)
To solve for x (the total time), we can cross-multiply:
(x hours) = (4 hours) * (1 full distance) / (2/3 of the distance)
(x hours) = (4 hours) * (3/2) = (4 * 3) / 2 = 12/2 = 6 hours
Therefore, it will take Miguel 6 hours to reach his destination, based on his travel rate of covering 2/3 of the distance in 4 hours.
So, the correct answer is 6 hours.