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 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)
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 2/3 mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)
1. The quotient of 1/2 and 12/7 can be found by multiplying 1/2 by the reciprocal of 12/7. The reciprocal of 12/7 is 7/12. So, the quotient is (1/2) * (7/12) = 7/24.
2. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, (5/6) ÷ (6/7) = (5/6) * (7/6) = 35/36.
3. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, (2/3) ÷ (12/19) = (2/3) * (19/12) = 38/36.
4. If 1/4 cup of lime juice is needed for every 4 avocados, then 1 cup of lime juice would be needed for every (4/1) * 4 = 16 avocados.
5. If Rubio can walk 2/3 mile in 16 minutes, then to calculate how long it would take him to walk 1 mile, we can use a proportion: (2/3) mile / 16 minutes = 1 mile / x minutes. Cross-multiplying, we get (2/3) * x = 1 * 16. Simplifying, we get (2/3)x = 16. Dividing both sides by 2/3, we get x = 16 / (2/3) = 16 * (3/2) = 24. So, it would take him 24 minutes to get to his friend's house.