What is 2/3÷12/19
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?
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?
They better be right
To solve for 2/3 ÷ 12/19, we can multiply the first fraction by the reciprocal of the second fraction:
(2/3) * (19/12) = (2*19) / (3*12) = 38/36
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
38/36 = 19/18
So, 2/3 ÷ 12/19 is equal to 19/18.
To find out how many avocados Desiree needs, we can set up a proportion based on the given recipe:
1/4 cups lime juice / 4 avocados = 1 cup lime juice / x avocados
Cross-multiplying, we have:
1 * x = 4 * 1/4
Simplifying, we get:
x = 1
So, Desiree needs 1 avocado.
To determine how long it will take Rubio to get to his friend's house, we can set up a proportion using the given information:
2/3 mile / 16 minutes = 1 mile / x minutes
Cross-multiplying, we have:
2/3 * x = 1 * 16
Simplifying, we get:
2x/3 = 16
Multiplying both sides by 3/2 to isolate x, we get:
x = (16 * 3)/2
Simplifying, we get:
x = 48/2
x = 24
Therefore, it will take Rubio 24 minutes to walk to his friend's house.
To solve the expression 2/3 ÷ 12/19:
Step 1: Change the division into multiplication by taking the reciprocal of the divisor.
2/3 ÷ 12/19 is the same as 2/3 * 19/12.
Step 2: Simplify the multiplication.
Multiply the numerators (2 * 19) to get 38, and multiply the denominators (3 * 12) to get 36.
Therefore, 2/3 ÷ 12/19 simplifies to 38/36.
Step 3: Simplify the fraction.
Divide the numerator and denominator by the greatest common divisor, which is 2.
38 / 2 = 19, and 36 / 2 = 18.
So, 2/3 ÷ 12/19 simplifies to 19/18.