Simplify Expression 6843A7

1. **State the problem:** Simplify the expression $$4+\frac{1}{2}-(3-2)+3$$. 2. **Apply order of operations:** First, simplify inside the parentheses. $$3-2=1$$ So the expression becomes: $$4+\frac{1}{2}-1+3$$ 3. **Combine like terms:** Group whole numbers and fractions. $$4 - 1 + 3 + \frac{1}{2}$$ Calculate the whole numbers: $$4 - 1 = 3$$ $$3 + 3 = 6$$ So now: $$6 + \frac{1}{2}$$ 4. **Add the fraction:** $$6 + \frac{1}{2} = \frac{12}{2} + \frac{1}{2} = \frac{13}{2}$$ 5. **Final answer:** $$\boxed{\frac{13}{2}}$$