Question

Combine like terms to simplify the expression: {\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k} 5 2 ​ k− 5 3 ​ + 10 1 ​ kstart fraction, 2, divided by, 5, end fraction, k, minus, start fraction, 3, divided by, 5, end fraction, plus, start fraction, 1, divided by, 10, end fraction, k

Answer 1

Given:

The expression is

${\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}$

To find:

The simplified form of given expression.

Solution:

We have,

${\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}$

On combining like terms, we get

$=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}$

Taking LCM in the parenthesis, we get

$=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}$

$=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}$

$=\dfrac{k}{2}-\dfrac{3}{5}$

Therefore, the simplified form of the given expression is $\dfrac{k}{2}-\dfrac{3}{5}$.