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