Answer:
41 13/18
Explanation:
Given the expression:
[tex]42+\frac{5}{9}r[/tex]When the value of r is given to be:
[tex]r=-\frac{1}{2}[/tex]We substitute to obtain:
[tex]\begin{gathered} 42+\frac{5}{9}r=42+\frac{5}{9}(-\frac{1}{2}) \\ =42-\frac{5}{18} \end{gathered}[/tex]Next, we take the lowest common multiple of the denominators (1 and 18).
[tex]\begin{gathered} =\frac{756-5}{18} \\ =\frac{751}{18} \\ =41\frac{13}{18} \end{gathered}[/tex]Therefore, when r=-1/2, the value of the expression is:
[tex]41\frac{13}{18}[/tex]