Question

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

Answer 1

41 13/18

Step-by-step explanation:

Given the expression:

`42+(5)/(9)r`

When the value of r is given to be:

`r=-(1)/(2)`

We substitute to obtain:

`\begin{gathered} 42+(5)/(9)r=42+(5)/(9)(-(1)/(2)) \\ =42-(5)/(18) \end{gathered}`

Next, we take the lowest common multiple of the denominators (1 and 18).

`\begin{gathered} =(756-5)/(18) \\ =(751)/(18) \\ =41(13)/(18) \end{gathered}`

Therefore, when r=-1/2, the value of the expression is:

`41(13)/(18)`