Answer:
To find the quotient when the sum of 1/2 and 1/3 is divided by the product of 1/2 and 1/3, we need to perform the necessary calculations step by step.
First, let's find the sum of 1/2 and 1/3:
1/2 + 1/3 = (3/6) + (2/6) = 5/6
Next, let's find the product of 1/2 and 1/3:
(1/2) * (1/3) = 1/6
Finally, let's divide the sum by the product:
(5/6) ÷ (1/6)
To divide fractions, we invert the second fraction and multiply:
(5/6) * (6/1) = (5 * 6) / (6 * 1) = 30 / 6
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:
30 / 6 = (30 ÷ 6) / (6 ÷ 6) = 5 / 1
Therefore, the quotient when the sum of 1/2 and 1/3 is divided by the product of 1/2 and 1/3 is 5.
Explanation: