To find the quotient of two fractions, you 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. Therefore, the quotient of 2/3 and 12/19 is (2/3) / (12/19), which is equal to (2/3) * (19/12).
To simplify this fraction, you can cancel out the common factors. The factors of 3 and 12 are both divisible by 3, so you can cancel them out:
(2/1) * (19/4)
Now you can multiply the numerators together and the denominators together:
(2 * 19) / (1 * 4)
This simplifies to:
38/4
To further simplify, you can divide both the numerator and the denominator by their greatest common factor, which is 2:
38/4 = 19/2
Therefore, the quotient of 2/3 and 12/19 is 19/2.
find the quotient of 2/3 and 12/19
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To find the quotient of 2/3 and 12/19, you multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 12/19 = 19/12.
Therefore, the quotient is (2/3) * (19/12).
Multiplying the numerators together and the denominators together, we get:
(2 * 19) / (3 * 12) = 38/36.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
38/36 = (19/18) * (1/2) = 19/36.
So, the quotient of 2/3 and 12/19 is 19/36.
To find the quotient of 2/3 and 12/19, you multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 12/19 = 19/12.
Therefore, the quotient is (2/3) * (19/12).
Multiplying the numerators together and the denominators together, we get:
(2 * 19) / (3 * 12) = 38/36.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
38/36 = (19/18) * (1/2) = 19/36.
So, the quotient of 2/3 and 12/19 is 19/36.