Find the quotient of 1/2 and 12/7. (1 point)
The quotient of 1/2 and 12/7 is 7/24.
To find the quotient of 1/2 and 12/7, you 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.
1/2 ÷ 12/7
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
1/2 x 7/12
When you multiply fractions, you simply multiply the numerators together and the denominators together.
1 x 7 = 7
2 x 12 = 24
So, the quotient of 1/2 and 12/7 is 7/24.
To find the quotient of 1/2 and 12/7, we need to divide the numerator of the first fraction (1) by the numerator of the second fraction (12). Then, we divide the denominator of the first fraction (2) by the denominator of the second fraction (7).
So, the quotient can be found by performing the following steps:
Step 1: Divide the numerators:
1 ÷ 12 = 0.08333 (approximately)
Step 2: Divide the denominators:
2 ÷ 7 = 0.28571 (approximately)
Therefore, the quotient of 1/2 and 12/7 is approximately 0.08333 ÷ 0.28571.
To simplify this fraction further, we can multiply both the numerator and denominator by the same number to eliminate the decimal points. In this case, we can multiply by 10000 to remove the decimals:
0.08333 ÷ 0.28571 ≈ (0.08333 × 10000) ÷ (0.28571 × 10000) = 833.3 ÷ 2857.1
Now, we can express this as a fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1:
833.3 ÷ 2857.1 ≈ (833.3 ÷ 1) ÷ (2857.1 ÷ 1) = 833.3/2857.1
Therefore, the simplified quotient of 1/2 and 12/7 is approximately 833.3/2857.1.