(6, 4 -5, 75) * (-1\2) +5 3\4 * -1\2=?

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. 1. **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 \(3/4\): - \(5 \frac{3}{4} = \frac{5 \times 4 + 3}{4} = \frac{20 + 3}{4} = \frac{23}{4}\) 2. **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 \(\frac{23}{4} \times (-1/2)\): - \(\frac{23}{4} \times \frac{-1}{2} = \frac{-23}{8}\) 3. **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: \[ \boxed{-5 \frac{7}{8}} \]