What is 4 + (-7 1/2)? Write the answer as a mixed number in simplest form.

To solve the expression (4 + (-7 frac{1}{2})), we first need to convert the mixed number into an improper fraction.

1. Convert (-7 frac{1}{2}) to an improper fraction:

[-7 frac{1}{2} = -left(7 times 2 + 1right)/2 = -frac{15}{2}]

2. Now, rewrite the expression:

[4 + left(-frac{15}{2}right) = 4 – frac{15}{2}]

3. Convert (4) to a fraction with a denominator of (2):

[4 = frac{8}{2}]

4. Now, combine the fractions:

[frac{8}{2} – frac{15}{2} = frac{8 – 15}{2} = frac{-7}{2}]

5. Convert (frac{-7}{2}) back to a mixed number:

[-frac{7}{2} = -3 frac{1}{2}]

So, the final answer is (-3 frac{1}{2}).