Given:
Given the expression
[tex]58+\frac{86}{5}[/tex]Required: The sum
Explanation:
The number,
[tex]58=\frac{58}{1}[/tex]Clearly, denominators of the two rational numbers are positive. Now re-write them so that they have a common denominator equal to the LCM of the denominators.
In this case, the denominators are 1 and 5.
The LCM of 1 and 5 is 5.
The number 58 can be re-written as
[tex]58=\frac{58}{1}=\frac{58\times5}{1\times5}=\frac{290}{5}[/tex]Therefore,
[tex]\begin{gathered} 58+\frac{86}{5}=\frac{290}{5}+\frac{86}{5} \\ =\frac{290+86}{5} \\ =\frac{376}{5} \end{gathered}[/tex]Final Answer:
[tex]58+\frac{86}{5}=\frac{376}{5}[/tex]