Find the quotient of 1/2 and 12/7.(1 point)
In order to divide two fractions, you multiply the first fraction by the reciprocal of the second fraction.
First, we need to find the reciprocal of 12/7. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. Therefore, the reciprocal of 12/7 is 7/12.
Next, we multiply 1/2 by 7/12:
(1/2) * (7/12) = (1 * 7)/(2 * 12) = 7/24
So, the quotient of 1/2 and 12/7 is 7/24.
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 obtained by dividing 1/2 by 12/7.
Step 1: Divide the numerators:
1 ÷ 12 = 1/12
Step 2: Divide the denominators:
2 ÷ 7 = 2/7
Therefore, the quotient of 1/2 and 12/7 is 1/12 ÷ 2/7, which can be simplified to (1/12) * (7/2) = 7/24.
To find the quotient of two fractions, you need to follow these steps:
Step 1: Invert the second fraction.
The quotient of two fractions can be calculated by multiplying the first fraction by the reciprocal (or invert) of the second fraction. In this case, the reciprocal of 12/7 is 7/12.
Step 2: Multiply the first fraction by the reciprocal of the second fraction.
So, 1/2 multiplied by 7/12 gives us (1/2) × (7/12).
Step 3: Simplify the answer.
To simplify the fraction, you can cancel out any common factors between the numerator and the denominator. In this case, there are no common factors to cancel out.
Step 4: Multiply the numerators and denominators.
Multiply the numerators together: 1 × 7 = 7.
Multiply the denominators together: 2 × 12 = 24.
Step 5: Express the answer in its simplest form.
The final result is 7/24.
Therefore, the quotient of 1/2 and 12/7 is 7/24.