Final answer:
To solve the equation 3 3/4 - n = n+1/2, we need to find the value of n that satisfies this equation. By converting the mixed number to an improper fraction and simplifying the equation, we can solve for n.
Step-by-step explanation:
To solve the equation 3 3/4 - n = n+1/2, we need to find the value of n that satisfies this equation.
First, let's convert the mixed number 3 3/4 to an improper fraction. 3 3/4 = (3 * 4 + 3) / 4 = 15/4.
Now we can rewrite the equation as (15/4) - n = n + 1/2.
To eliminate fractions, we can multiply both sides of the equation by 4 to get 15 - 4n = 4n + 2.
Combining like terms, we have 15 - 2 = 4n + 4n.
Subtracting 13 from both sides gives 2 = 8n. Dividing both sides by 8 gives n = 2/8 = 1/4.
Therefore, the value of n that satisfies the equation is 1/4.