What is 5/6÷6/7

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?

1 answer

To solve the division problems, we have to divide the numerators and denominators separately and then divide the results:
1. (5/6) ÷ (6/7) = (5/6) x (7/6) = 35/36
2. (2/3) ÷ (12/19) = (2/3) x (19/12) = 38/36 = 19/18

To find out how many avocados Desiree needs, we can set up a proportion:
(1/4) cup lime juice = 1 cup lime juice
4 avocados = x avocados

Cross-multiplying, we get:
(1/4) * x = (1) * 4
x/4 = 4
x = 4 * 4
x = 16
Desiree needs 16 avocados.

To find out how long it will take Rubio to get to his friend's house, we can set up a proportion again:
(2/3) mile = 1 mile
16 minutes = x minutes

Cross-multiplying:
(2/3) * x = (1) * 16
2/3 * x = 16
2x = 48
x = 48 / 2
x = 24

It will take Rubio 24 minutes to get to his friend's house.