Divide (2x-5)/(4x^2)

$\frac{2 x - 5}{4 x^{2}}$

Step 1

Split the fraction $\frac{2 x - 5}{4 x^{2}}$ into two fractions.

$\frac{2 x}{4 x^{2}} + \frac{- 5}{4 x^{2}}$

Step 2

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

Factor $2$ out of $2 x$ .

$\frac{2 (x)}{4 x^{2}} + \frac{- 5}{4 x^{2}}$

Cancel the common factors.

Factor $2$ out of $4 x^{2}$ .

$\frac{2 (x)}{2 (2 x^{2})} + \frac{- 5}{4 x^{2}}$

Cancel the common factor.

$\frac{2 x}{2 (2 x^{2})} + \frac{- 5}{4 x^{2}}$

Rewrite the expression.

$\frac{x}{2 x^{2}} + \frac{- 5}{4 x^{2}}$

$\frac{x}{2 x^{2}} + \frac{- 5}{4 x^{2}}$

$\frac{x}{2 x^{2}} + \frac{- 5}{4 x^{2}}$

Step 3

Cancel the common factor of $x$ and $x^{2}$ .

Raise $x$ to the power of $1$ .

$\frac{x^{1}}{2 x^{2}} + \frac{- 5}{4 x^{2}}$

Factor $x$ out of $x^{1}$ .

$\frac{x \cdot 1}{2 x^{2}} + \frac{- 5}{4 x^{2}}$

Cancel the common factors.

Factor $x$ out of $2 x^{2}$ .

$\frac{x \cdot 1}{x (2 x)} + \frac{- 5}{4 x^{2}}$

Cancel the common factor.

$\frac{x \cdot 1}{x (2 x)} + \frac{- 5}{4 x^{2}}$

Rewrite the expression.

$\frac{1}{2 x} + \frac{- 5}{4 x^{2}}$

$\frac{1}{2 x} + \frac{- 5}{4 x^{2}}$

$\frac{1}{2 x} + \frac{- 5}{4 x^{2}}$

Step 4

Move the negative in front of the fraction.

$\frac{1}{2 x} - \frac{5}{4 x^{2}}$

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