Simplify (3x-8)/(4x)+(-x+8)/(4x)

$\frac{3 x - 8}{4 x} + \frac{- x + 8}{4 x}$

Combine the numerators over the common denominator.

$\frac{3 x - 8 - x + 8}{4 x}$

Combine the opposite terms in $3 x - 8 - x + 8$ .

Add $- 8$ and $8$ .

$\frac{3 x - x + 0}{4 x}$

Add $3 x - x$ and $0$ .

$\frac{3 x - x}{4 x}$

Subtract $x$ from $3 x$ .

$\frac{2 x}{4 x}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x)}{4 x}$

Cancel the common factors.

Factor $2$ out of $4 x$ .

$\frac{2 (x)}{2 (2 x)}$

Cancel the common factor.

$\frac{2 x}{2 (2 x)}$

Rewrite the expression.

$\frac{x}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x}{2 x}$

Rewrite the expression.

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$