Respuesta :
Given:
The expression is
[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]
To find:
The simplified form of given expression.
Solution:
We have,
[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]
On combining like terms, we get
[tex]=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}[/tex]
Taking LCM in the parenthesis, we get
[tex]=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}[/tex]
[tex]=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}[/tex]
[tex]=\dfrac{k}{2}-\dfrac{3}{5}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{k}{2}-\dfrac{3}{5}[/tex].
