Answer:
The simplified form of the provided expression is: [tex]\frac{1}{2}k-\frac{3}{5}[/tex] or [tex]\frac{5k-6}{10}[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{2}{5}k-\frac{3}{5}+\frac{1}{10}k[/tex]
The above expression can be written as:
[tex]\frac{2}{5}k+\frac{1}{10}k-\frac{3}{5}[/tex]
Now add the like terms.
[tex]\frac{4k+k}{10}-\frac{3}{5}[/tex]
[tex]\frac{5k}{10}-\frac{3}{5}[/tex]
[tex]\frac{1}{2}k-\frac{3}{5}[/tex]
Or
[tex]\frac{5k-6}{10}[/tex]
Hence, the simplified form of the provided expression is: [tex]\frac{1}{2}k-\frac{3}{5}[/tex] or [tex]\frac{5k-6}{10}[/tex].
