Divide (6a^2+21a)/(3a^2)

$\frac{6 a^{2} + 21 a}{3 a^{2}}$

Factor $3 a$ out of $6 a^{2} + 21 a$ .

Factor $3 a$ out of $6 a^{2}$ .

$\frac{3 a (2 a) + 21 a}{3 a^{2}}$

Factor $3 a$ out of $21 a$ .

$\frac{3 a (2 a) + 3 a (7)}{3 a^{2}}$

Factor $3 a$ out of $3 a (2 a) + 3 a (7)$ .

$\frac{3 a (2 a + 7)}{3 a^{2}}$

$\frac{3 a (2 a + 7)}{3 a^{2}}$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 a (2 a + 7)}{3 a^{2}}$

Rewrite the expression.

$\frac{a (2 a + 7)}{a^{2}}$

$\frac{a (2 a + 7)}{a^{2}}$

Cancel the common factors.

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

$\frac{a (2 a + 7)}{a \cdot a}$

Cancel the common factor.

$\frac{a (2 a + 7)}{a \cdot a}$

Rewrite the expression.

$\frac{2 a + 7}{a}$

$\frac{2 a + 7}{a}$

Split the fraction $\frac{2 a + 7}{a}$ into two fractions.

$\frac{2 a}{a} + \frac{7}{a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{2 a}{a} + \frac{7}{a}$

Divide $2$ by $1$ .

$2 + \frac{7}{a}$

$2 + \frac{7}{a}$

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