Question 1. Find the quiotent of 1/2 and 12/7.
Question 2. What is 5/6 ÷ 6/7
Question 3. What is 2/3 ÷ 12/19
Question 4. Desiree is making guacamole for a party. The recipe she is using calls for 14 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)
Question 5. 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 23 mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)
1. To find the quotient of 1/2 and 12/7, we can multiply the first fraction by the reciprocal of the second fraction:
(1/2) ÷ (12/7) = (1/2) * (7/12) = 7/24.
2. To divide 5/6 by 6/7, we can multiply the first fraction by the reciprocal of the second fraction:
(5/6) ÷ (6/7) = (5/6) * (7/6) = 35/36.
3. To divide 2/3 by 12/19, we can multiply the first fraction by the reciprocal of the second fraction:
(2/3) ÷ (12/19) = (2/3) * (19/12) = 38/36 = 19/18.
4. If the recipe calls for 14 cups of lime juice for every 4 avocados, and Desiree plans to use 1 cup of lime juice, we can set up a proportion to find the number of avocados needed:
14 cups / 4 avocados = 1 cup / x avocados.
Cross multiplying, we get: 14x = 4.
Dividing both sides by 14, we get: x = 4/14 = 2/7.
So Desiree needs 2/7 of an avocado.
5. If Rubio can walk at a pace of 23 miles in 16 minutes, we can set up a proportion to find how long it will take him to walk 1 mile:
23 miles / 16 minutes = 1 mile / x minutes.
Cross multiplying, we get: 23x = 16.
Dividing both sides by 23, we get: x = 16/23.
So it will take Rubio approximately 16/23 of a minute to walk 1 mile.