Find the quotient of 1/2 and 12/7 .(1 point)
To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
The quotient of 1/2 and 12/7 is calculated as follows:
(1/2) ÷ (12/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(1/2) * (7/12)
Multiplying the numerators gives us:
1 * 7 = 7
Multiplying the denominators gives us:
2 * 12 = 24
Therefore, the quotient is:
7/24
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(5/6) ÷ (6/7) = (5/6) * (7/6)
Multiplying the numerators gives us:
5 * 7 = 35
Multiplying the denominators gives us:
6 * 6 = 36
Therefore, the quotient is:
35/36
To find out how many avocados Desiree needs, we can set up a proportion using the given information:
1/4 cup lime juice : 4 avocados = 1 cup lime juice : x avocados
Cross-multiplying, we have:
(x avocados) * (1/4 cup lime juice) = (4 avocados) * (1 cup lime juice)
x/4 = 4
To solve for x, we can multiply both sides of the equation by 4:
x = 4 * 4
x = 16
Therefore, Desiree needs 16 avocados.
To find out how long it will take Rubio to get to his friend's house, we need to calculate the time it takes for him to walk 1 mile at a pace of 2/3 mile in 16 minutes.
First, we need to find the time it takes for him to walk 1 mile based on his pace of 2/3 mile in 16 minutes.
To do this, we can set up a proportion:
(2/3 mile) : (16 minutes) = 1 mile : x minutes
Cross-multiplying, we get:
(1 mile) * (16 minutes) = (2/3 mile) * (x minutes)
16 = (2/3) * x
To solve for x, we can multiply both sides of the equation by 3/2:
16 * (3/2) = x
24 = x
Therefore, it will take Rubio 24 minutes to get to his friend's house.
What is 5/6÷6/7 ?(1 point)
What is 2/3÷12/19 ?(1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(2/3) ÷ (12/19) = (2/3) * (19/12)
Multiplying the numerators gives us:
2 * 19 = 38
Multiplying the denominators gives us:
3 * 12 = 36
Therefore, the quotient is:
38/36
However, we can simplify the fraction further by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
38 ÷ 2 = 19
36 ÷ 2 = 18
So, the simplified quotient is:
19/18