Divide (a^2-6a+4)/(2a)

$\frac{a^{2} - 6 a + 4}{2 a}$

Step 1

Split the fraction $\frac{a^{2} - 6 a + 4}{2 a}$ into two fractions.

$\frac{a^{2} - 6 a}{2 a} + \frac{4}{2 a}$

Step 2

Split the fraction $\frac{a^{2} - 6 a}{2 a}$ into two fractions.

$\frac{a^{2}}{2 a} + \frac{- 6 a}{2 a} + \frac{4}{2 a}$

Step 3

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

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

$\frac{a \cdot a}{2 a} + \frac{- 6 a}{2 a} + \frac{4}{2 a}$

Cancel the common factors.

Factor $a$ out of $2 a$ .

$\frac{a \cdot a}{a \cdot 2} + \frac{- 6 a}{2 a} + \frac{4}{2 a}$

Cancel the common factor.

$\frac{a \cdot a}{a \cdot 2} + \frac{- 6 a}{2 a} + \frac{4}{2 a}$

Rewrite the expression.

$\frac{a}{2} + \frac{- 6 a}{2 a} + \frac{4}{2 a}$

Step 4

Cancel the common factor of $- 6$ and $2$ .

Factor $2$ out of $- 6 a$ .

$\frac{a}{2} + \frac{2 (- 3 a)}{2 a} + \frac{4}{2 a}$

Cancel the common factors.

Factor $2$ out of $2 a$ .

$\frac{a}{2} + \frac{2 (- 3 a)}{2 (a)} + \frac{4}{2 a}$

Cancel the common factor.

$\frac{a}{2} + \frac{2 (- 3 a)}{2 a} + \frac{4}{2 a}$

Rewrite the expression.

$\frac{a}{2} + \frac{- 3 a}{a} + \frac{4}{2 a}$

Step 5

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a}{2} + \frac{- 3 a}{a} + \frac{4}{2 a}$

Divide $- 3$ by $1$ .

$\frac{a}{2} - 3 + \frac{4}{2 a}$

Step 6

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

Factor $2$ out of $4$ .

$\frac{a}{2} - 3 + \frac{2 \cdot 2}{2 a}$

Cancel the common factors.

Factor $2$ out of $2 a$ .

$\frac{a}{2} - 3 + \frac{2 \cdot 2}{2 (a)}$

Cancel the common factor.

$\frac{a}{2} - 3 + \frac{2 \cdot 2}{2 a}$

Rewrite the expression.

$\frac{a}{2} - 3 + \frac{2}{a}$

Divide (a^2-6a+4)/(2a)

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