Question

simplify the expression

Answer 1

Answer:

• $\sf 10x-2$

Step-by-step explanation:

$\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-2\cfrac{1}{2}\right)$

We'll need to convert the mixed number 2 1/2 to improper fraction.

$\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-\cfrac{5}{2}\right)$

Simplify...

$\sf 2x+\cfrac{1}{2}+8x-\cfrac{5}{2}$

Add similar elements.

$\sf 10x+\cfrac{1}{2}-\cfrac{5}{2}$

$\sf 10x+\cfrac{-4}{2}$

Divide numbers..

$\sf 10x-2$

_______________________