Find the quotient 1/2 and 12/7
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 the denominator of the first fraction by the denominator of the second fraction.
The quotient of 1/2 and 12/7 is given by:
(1/2) ÷ (12/7)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(1/2) * (7/12)
When we multiply the numerators (1 * 7) and the denominators (2 * 12), we get:
7/24
Therefore, the quotient of 1/2 and 12/7 is 7/24.
What is 5/6 ÷ 6/7? (1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The division problem 5/6 ÷ 6/7 can be rewritten as:
(5/6) * (7/6)
When we multiply the numerators (5 * 7) and the denominators (6 * 6), we get:
35/36
Therefore, 5/6 ÷ 6/7 is equal to 35/36.
What is 3 ÷ 13? (1 point)
To find the quotient of 3 divided by 13, we simply divide the numerator (3) by the denominator (13).
3 ÷ 13 = 0.230769230769231
So, the quotient of 3 divided by 13 is approximately 0.230769230769231.
What is 2/3 ÷ 12/19? (1 point)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The division problem 2/3 ÷ 12/19 can be rewritten as:
(2/3) * (19/12)
To simplify the multiplication, we can simplify the fractions first.
2/3 = (2*1)/(3*1) = 2/3
12/19 = (2*6)/(3*6) = 12/18
Now we can rewrite the problem using the simplified fractions:
(2/3) * (19/12) = (2/3) * (19/18)
When we multiply the numerators (2 * 19) and the denominators (3 * 18), we get:
38/54
This fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 2.
38/54 = (2*19)/(2*27) = 19/27
Therefore, 2/3 ÷ 12/19 is equal to 19/27.
thts not right?
I apologize for the mistake in my previous response. Let's re-calculate the division problem correctly.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The division problem 2/3 ÷ 12/19 can be rewritten as:
(2/3) * (19/12)
Now, let's multiply the numerators (2 * 19) and the denominators (3 * 12):
(2 * 19) / (3 * 12) = 38 / 36
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
38 / 36 = (2 * 19) / (2 * 18) = 19 / 18
Therefore, 2/3 ÷ 12/19 is equal to 19/18.