Find the quotient of 4/6
and 1/2
(1 point)
Responses
1 1/3
1 1/6
1/3
1/6
The quotient of 4/6 and 1/2 is 1 1/3.
To find the quotient of 4/6 and 1/2, you need to divide 4/6 by 1/2. Here are the steps:
1. Invert the second fraction, which means swapping the numerator (top number) and the denominator (bottom number). In this case, the second fraction 1/2 becomes 2/1.
2. Multiply the first fraction (4/6) by the inverted second fraction (2/1).
3. Multiply the numerators (top numbers) together: 4 * 2 = 8.
4. Multiply the denominators (bottom numbers) together: 6 * 1 = 6.
5. Write the result as a fraction: 8/6.
Now, simplify the fraction if possible. The greatest common divisor (GCD) of 8 and 6 is 2, so divide both the numerator and denominator by 2:
8 ÷ 2 = 4, 6 ÷ 2 = 3.
The simplified quotient of 4/6 and 1/2 is 4/3.
To find the quotient of 4/6 and 1/2, you need to divide the numerator of the first fraction (4) by the numerator of the second fraction (1), and divide the denominator of the first fraction (6) by the denominator of the second fraction (2).
So, the quotient is (4/6) ÷ (1/2).
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is found by swapping the numerator and denominator.
So, the reciprocal of 1/2 is 2/1.
Now, you can multiply the first fraction (4/6) by the reciprocal of the second fraction (2/1):
(4/6) × (2/1) = (4 × 2) / (6 × 1) = 8/6
To simplify the fraction, you can divide both the numerator and denominator by their greatest common factor, which is 2:
(8/2) ÷ (6/2) = 4/3 = 1 1/3
Therefore, the quotient of 4/6 and 1/2 is 1 1/3.