What is 2 over 3 ÷ 12 over 19
To simplify the expression 2/3 ÷ 12/19, we can proceed as follows:
Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. Therefore, the expression becomes:
(2/3) * (19/12)
Next, multiply the numerators (2 * 19) to get 38, and multiply the denominators (3 * 12) to get 36. Thus, the expression simplifies to:
38/36
Now, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2. Doing so, we get:
19/18
Therefore, 2/3 ÷ 12/19 simplifies to 19/18.
Desiree is making guacamole for a party. The recipe she is using calls for 1 over 4 cup lime juice for every 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need?
To find the number of avocados Desiree needs, we can set up a proportion based on the given recipe.
Let x be the number of avocados Desiree needs. According to the recipe, for every 4 avocados, 1/4 cup of lime juice is needed. Therefore, we can set up the following proportion:
1/4 cup of lime juice / 4 avocados = 1 cup of lime juice / x avocados
To solve for x, we can cross-multiply:
(1/4) * x = (1/1) * 4
Multiplying both sides by 4:
x/4 = 4
Now, we can solve for x by multiplying both sides by 4:
x = 4 * 4
x = 16
Therefore, Desiree needs 16 avocados to use 1 cup of lime juice according to the recipe.
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 over 3 mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?
To find out how long it will take Rubio to get to his friend's house, we can set up a proportion based on his walking pace.
Let's assume the time it takes Rubio to walk 1 mile is represented by t minutes. According to the given information, his walking pace is 2/3 mile in 16 minutes. Therefore, we can set up the following proportion:
(2/3 mile) / (16 minutes) = (1 mile) / (t minutes)
To solve for t, we can cross-multiply:
(2/3) * t = (1/1) * 16
Multiplying both sides by 3:
(2/3) * t * 3 = 16 * 3
2t = 48
To isolate t, we divide both sides by 2:
t = 48 / 2
t = 24
Therefore, it will take Rubio 24 minutes to walk to his friend's house at his walking pace.
To find the value of the expression 2/3 ÷ 12/19, you can follow these steps:
Step 1: Start by changing the division problem into a multiplication problem by flipping the divisor (the second fraction). So the expression becomes 2/3 * 19/12.
Step 2: Simplify the fractions if possible. In this case, the fractions are already in their simplest form.
Step 3: Multiply the numerators (top numbers) together: 2 * 19 = 38.
Step 4: Multiply the denominators (bottom numbers) together: 3 * 12 = 36.
Step 5: Write the result as a fraction, with the product of the numerators as the numerator and the product of the denominators as the denominator. So the result is 38/36.
Step 6: If required, simplify the resulting fraction. In this case, you can simplify by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2. 38/36 can be reduced to 19/18.
So, the value of the expression 2/3 ÷ 12/19 is equal to 19/18.