\( \frac{1}{2} a-\frac{a}{b} \) if \( a=4, b=3, c=-2 \)

To evaluate the expression \( \frac{1}{2} a - \frac{a}{b} \) with \( a=4 \) and \( b=3 \), start by substituting the values: 1. Calculate \( \frac{1}{2} a \): \[ \frac{1}{2} \times 4 = 2 \] 2. Calculate \( \frac{a}{b} \): \[ \frac{4}{3} \] Now, substitute these values back into the expression: \[ 2 - \frac{4}{3} \] To perform this subtraction, convert 2 to a fraction with a common denominator: \[ 2 = \frac{6}{3} \] Now, substituting gives: \[ \frac{6}{3} - \frac{4}{3} = \frac{6 - 4}{3} = \frac{2}{3} \] Thus, the value of the expression is \( \frac{2}{3} \).