To solve the expression \((6, 4 - 5, 75) * (-1/2) + 5 3/4 * (-1/2)\), we first need to clarify the notation used. It looks like we are working with fractions and mixed numbers.
Let’s break the problem down step-by-step.
Convert Mixed Numbers to Improper Fractions:
- For the first mixed number \(6\) and \(4 - 5\):
- If we assume \(4 - 5\) to mean \(4\frac{5}{75}\), then it appears to be a slightly miswritten mixed number. To proceed, we’ll treat \(4\) as is and convert \(5.75\) to perform calculations later.
- If we consider \(4 - 5\) as a negative operation on \(4\) then we would have to clarify, but for calculation, this seems off.
- For \(5\) and \(3/4\):
- \(5 \frac{3}{4} = \frac{5 \times 4 + 3}{4} = \frac{20 + 3}{4} = \frac{23}{4}\)
- For the first mixed number \(6\) and \(4 - 5\):
Calculating Each Part:
- For \( (6, 4 - 5, 75) \) we will interpret entirely as a augmented form proper addition or another function as needed.
- For the negative half:
- We represent \((-1/2)\) as-is.
Now the breakdown: \[ (6 \times (-1/2)) + (5 \frac{3}{4} \times (-1/2)) \]
- Calculating \(6 \times (-1/2) = -3\).
- Calculating \(\frac{23}{4} \times (-1/2)\):
- \(\frac{23}{4} \times \frac{-1}{2} = \frac{-23}{8}\)
Combining Results:
- We need to combine \(-3\) and \(-\frac{23}{8}\).
- Convert \(-3\) to eighths:
- \(-3 = \frac{-24}{8}\)
- Now add them: \[ \frac{-24}{8} + \frac{-23}{8} = \frac{-24 - 23}{8} = \frac{-47}{8} \]
Thus the final result for \( (6 \frac{4}{75}) \times (-1/2) + 5 \frac{3}{4} \times (-1/2) = \frac{-47}{8} \) or as a mixed number:
\[ -\frac{47}{8} = -5 \frac{7}{8} \]
So the answer to the expression is:
\[ \boxed{-5 \frac{7}{8}} \]