Find the quotient of 4/6 and 1/2.
A. 1 1/3
B. 1 1/6
C 1/2
D1/6
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/2 is 2/1.
So, the product of 4/6 and 2/1 is (4/6) * (2/1) = (4*2) / (6*1) = 8/6.
We can simplify 8/6 by dividing the numerator and denominator by their greatest common factor, which is 2.
8/6 = (8/2) / (6/2) = 4/3.
Therefore, the quotient of 4/6 and 1/2 is 4/3, which can be written as 1 1/3.
The correct answer is A. 1 1/3.
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.
Given:
Fraction 1: 4/6
Fraction 2: 1/2
To divide 4/6 by 1/2, we perform the following calculation:
(4 ÷ 6) ÷ (1 ÷ 2)
The division inside brackets:
(4 ÷ 6) = 2/3
Now, we have:
(2/3) ÷ (1 ÷ 2)
To divide by a fraction, we multiply by its reciprocal:
(2/3) × (2/1)
Multiplying the numerators and denominators:
(2 × 2) / (3 × 1) = 4/3
The quotient of 4/6 and 1/2 is 4/3.
None of the given answer choices match the calculated quotient, so the correct answer is not listed.
To find the quotient of 4/6 and 1/2, we divide the numerator of the first fraction by the numerator of the second fraction, and the same with the denominators.
Here's the step-by-step calculation:
1. Divide 4 by 1: 4 ÷ 1 = 4.
2. Divide 6 by 2: 6 ÷ 2 = 3.
Therefore, the quotient of 4/6 and 1/2 is 4/3.
Now let's convert the improper fraction into a mixed number, which is an option given in the answer choices.
To convert 4/3 into a mixed number:
1. Divide 4 by 3: 4 ÷ 3 = 1 with a remainder of 1.
2. The whole number part is 1, and the remainder becomes the numerator of the fraction part.
3. So the result is 1 1/3.
Therefore, the correct answer is A. 1 1/3.