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Evaluate 42+5/9r if r= -1/2 42 + 5/9r=

Sagot :

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]