Final answer:
To solve the equation, we set up the equation with the information given and then find a common denominator to add the fractions. We isolate the variable on one side of the equation and solve for it. The number we are looking for is 0.
Step-by-step explanation:
To solve the equation, we need to represent 39 1/0 as the sum of 3 1/3 and half of a number. Let's start by converting 39 1/0 to a mixed number. Since we cannot divide by zero, this expression is undefined. Now, let's set up the equation using the information given:
39 + 1/0 = 3 1/3 + (1/2)x
Since 39 + 1/0 is undefined, we can eliminate it from the equation. Now we have:
3 1/3 + (1/2)x
To add 3 1/3 and (1/2)x, we need to find a common denominator. The common denominator here is 6. So:
3 1/3 = 10/3 = 20/6
Now, let's rewrite the equation:
20/6 + (1/2)x = 20/6
To solve for x, we need to isolate it on one side of the equation. By subtracting 20/6 from both sides, we have:
(1/2)x = 0
To solve for x, we can multiply both sides by the reciprocal of 1/2, which is 2/1:
x = 0 x 2/1
x = 0
Therefore, the number we are looking for is 0.