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

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




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1 Answer

  1. 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}).

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