Algebra Examples

$\frac{20 b^{2}}{30 a^{2}} + \frac{10 a b^{3}}{5 a b}$

Step 1

Cancel the common factor of $20$ and $30$ .

Tap for more steps...

Step 1.1

Factor $10$ out of $20 b^{2}$ .

$\frac{10 (2 b^{2})}{30 a^{2}} + \frac{10 a b^{3}}{5 a b}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $10$ out of $30 a^{2}$ .

$\frac{10 (2 b^{2})}{10 (3 a^{2})} + \frac{10 a b^{3}}{5 a b}$

Step 1.2.2

Cancel the common factor.

$\frac{10 (2 b^{2})}{10 (3 a^{2})} + \frac{10 a b^{3}}{5 a b}$

Step 1.2.3

Rewrite the expression.

$\frac{2 b^{2}}{3 a^{2}} + \frac{10 a b^{3}}{5 a b}$

Step 2

Cancel the common factor of $10$ and $5$ .

Tap for more steps...

Step 2.1

Factor $5$ out of $10 a b^{3}$ .

$\frac{2 b^{2}}{3 a^{2}} + \frac{5 (2 a b^{3})}{5 a b}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $5$ out of $5 a b$ .

$\frac{2 b^{2}}{3 a^{2}} + \frac{5 (2 a b^{3})}{5 (a b)}$

Step 2.2.2

Cancel the common factor.

$\frac{2 b^{2}}{3 a^{2}} + \frac{5 (2 a b^{3})}{5 (a b)}$

Step 2.2.3

Rewrite the expression.

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

Step 3

Cancel the common factor of $a$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

Step 4

Cancel the common factor of $b^{3}$ and $b$ .

Tap for more steps...

Step 4.1

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

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

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

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

$\frac{2 b^{2}}{3 a^{2}} + \frac{b (2 b^{2})}{b^{1}}$

Step 4.2.2

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

$\frac{2 b^{2}}{3 a^{2}} + \frac{b (2 b^{2})}{b \cdot 1}$

Step 4.2.3

Cancel the common factor.

$\frac{2 b^{2}}{3 a^{2}} + \frac{b (2 b^{2})}{b \cdot 1}$

Step 4.2.4

Rewrite the expression.

$\frac{2 b^{2}}{3 a^{2}} + \frac{2 b^{2}}{1}$

Step 4.2.5

Divide $2 b^{2}$ by $1$ .

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