Question

Simplify the expression

Answer 1

• 
  `\sf 10x-2`

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`

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