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

k/2-3/5

Step-by-step explanation: Khan

Answer 2

Given:

The expression is

`{(2)/(5)k-\frac35+(1)/(10)k}`

To find:

The simplified form of given expression.

Solution:

We have,

`{(2)/(5)k-\frac35+(1)/(10)k}`

On combining like terms, we get

`=\left((2)/(5)k+(1)/(10)k\right)-(3)/(5)`

Taking LCM in the parenthesis, we get

`=\left((4k+k)/(10)\right)-(3)/(5)`

`=\left((5k)/(10)\right)-(3)/(5)`

`=(k)/(2)-(3)/(5)`

Therefore, the simplified form of the given expression is
`(k)/(2)-(3)/(5)`.