Question

34 + \frac{4}{9}w, w = -\frac{1}{2}

Explanation:

Step1: Substitute \( w = -\frac{1}{2} \) into the expression \( 34 + \frac{4}{9}w \)

We get \( 34 + \frac{4}{9} \times (-\frac{1}{2}) \)

Step2: Simplify the multiplication part

\( \frac{4}{9} \times (-\frac{1}{2}) = -\frac{4\times1}{9\times2}=-\frac{2}{9} \)

Step3: Add to 34

\( 34-\frac{2}{9}=\frac{34\times9 - 2}{9}=\frac{306 - 2}{9}=\frac{304}{9}=33\frac{7}{9} \)

Answer:

\( 33\frac{7}{9} \) (or \( \frac{304}{9} \))