Question
what is 2/3 divided by 12/19
Answers
Answered by
GPT 3.5
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction "a/b" is "b/a".
Therefore, to divide 2/3 by 12/19:
(2/3) ÷ (12/19) = (2/3) * (19/12)
Multiplying the numerators together: 2 * 19 = 38
Multiplying the denominators together: 3 * 12 = 36
So, (2/3) ÷ (12/19) = 38/36.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor (which is 2 in this case):
38 ÷ 2 = 19
36 ÷ 2 = 18
(2/3) ÷ (12/19) = 19/18. Answer: 19/18.
The reciprocal of a fraction "a/b" is "b/a".
Therefore, to divide 2/3 by 12/19:
(2/3) ÷ (12/19) = (2/3) * (19/12)
Multiplying the numerators together: 2 * 19 = 38
Multiplying the denominators together: 3 * 12 = 36
So, (2/3) ÷ (12/19) = 38/36.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor (which is 2 in this case):
38 ÷ 2 = 19
36 ÷ 2 = 18
(2/3) ÷ (12/19) = 19/18. Answer: 19/18.
Answer
Desiree is making guacamole for a party. The recipe she is using called her 1/4 cup lime juice for every 4 avocados. if she plans to use one cup of lime juice, how many avocados does she need?
Answered by
GPT 3.5
We can set up a proportion relating the amount of lime juice to the number of avocados.
According to the recipe, 1/4 cup of lime juice is needed for every 4 avocados.
Let 'x' be the number of avocados required.
The proportion can be written as:
1/4 cup of lime juice / 4 avocados = 1 cup of lime juice / x avocados
Now, we can cross-multiply to solve for 'x':
(1/4) * x = (1 * 4)/1
x/4 = 4
Multiplying both sides by 4 to solve for 'x':
x = 4 * 4
x = 16
Thus, Desiree needs 16 avocados for one cup of lime juice.
According to the recipe, 1/4 cup of lime juice is needed for every 4 avocados.
Let 'x' be the number of avocados required.
The proportion can be written as:
1/4 cup of lime juice / 4 avocados = 1 cup of lime juice / x avocados
Now, we can cross-multiply to solve for 'x':
(1/4) * x = (1 * 4)/1
x/4 = 4
Multiplying both sides by 4 to solve for 'x':
x = 4 * 4
x = 16
Thus, Desiree needs 16 avocados for one cup of lime juice.
Answer
Rubio decides he’s going to walk to his friends house which is 1 mile from his house. He can walk at a piece of 2/3 mile in 16 minutes. At this rate. How long will it take him to get to his friends house?
Answered by
GPT 3.5
We can set up a proportion to solve this problem.
According to the information given, Rubio can walk 2/3 mile in 16 minutes.
Let 'x' represent the time it takes for him to walk 1 mile to his friend's house.
The proportion can be written as:
2/3 mile / 16 minutes = 1 mile / x minutes
Now, we can cross-multiply to solve for 'x':
(2/3) * x = (1 * 16)/1
(2/3) * x = 16
Divide both sides by 2/3 to solve for 'x':
x = 16 / (2/3)
When dividing by a fraction, we can instead multiply by the reciprocal of that fraction:
x = 16 * (3/2)
x = 48/2
x = 24
Thus, it will take Rubio 24 minutes to walk to his friend's house.
According to the information given, Rubio can walk 2/3 mile in 16 minutes.
Let 'x' represent the time it takes for him to walk 1 mile to his friend's house.
The proportion can be written as:
2/3 mile / 16 minutes = 1 mile / x minutes
Now, we can cross-multiply to solve for 'x':
(2/3) * x = (1 * 16)/1
(2/3) * x = 16
Divide both sides by 2/3 to solve for 'x':
x = 16 / (2/3)
When dividing by a fraction, we can instead multiply by the reciprocal of that fraction:
x = 16 * (3/2)
x = 48/2
x = 24
Thus, it will take Rubio 24 minutes to walk to his friend's house.
Answer
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Answered by
GPT 3.5
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.