Basic Math Examples

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

Step 1

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

Tap for more steps...

Step 1.1

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

$\frac{3 a (a) + 3 a b}{6 a b + 6 b^{2}}$

Step 1.2

Factor $3 a$ out of $3 a b$ .

$\frac{3 a (a) + 3 a (b)}{6 a b + 6 b^{2}}$

Step 1.3

Factor $3 a$ out of $3 a (a) + 3 a (b)$ .

$\frac{3 a (a + b)}{6 a b + 6 b^{2}}$

$\frac{3 a (a + b)}{6 a b + 6 b^{2}}$

Step 2

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

Tap for more steps...

Step 2.1

Factor $6 b$ out of $6 a b$ .

$\frac{3 a (a + b)}{6 b (a) + 6 b^{2}}$

Step 2.2

Factor $6 b$ out of $6 b^{2}$ .

$\frac{3 a (a + b)}{6 b (a) + 6 b (b)}$

Step 2.3

Factor $6 b$ out of $6 b (a) + 6 b (b)$ .

$\frac{3 a (a + b)}{6 b (a + b)}$

$\frac{3 a (a + b)}{6 b (a + b)}$

Step 3

Cancel the common factor of $3$ and $6$ .

Tap for more steps...

Step 3.1

Factor $3$ out of $3 a (a + b)$ .

$\frac{3 (a (a + b))}{6 b (a + b)}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $3$ out of $6 b (a + b)$ .

$\frac{3 (a (a + b))}{3 (2 b (a + b))}$

Step 3.2.2

Cancel the common factor.

$\frac{3 (a (a + b))}{3 (2 b (a + b))}$

Step 3.2.3

Rewrite the expression.

$\frac{a (a + b)}{2 b (a + b)}$

$\frac{a (a + b)}{2 b (a + b)}$

$\frac{a (a + b)}{2 b (a + b)}$

Step 4

Cancel the common factor of $a + b$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{a (a + b)}{2 b (a + b)}$

Step 4.2

Rewrite the expression.

$\frac{a}{2 b}$

$\frac{a}{2 b}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$