Basic Math Examples

$\frac{z + 4}{z - 1} \div \frac{z^{2} + z}{z - 1}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $z - 1$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$(z + 4) \frac{1}{z^{2} + z}$

Step 3

Factor $z$ out of $z^{2} + z$ .

Tap for more steps...

Step 3.1

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

$(z + 4) \frac{1}{z \cdot z + z}$

Step 3.2

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

$(z + 4) \frac{1}{z \cdot z + z^{1}}$

Step 3.3

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

$(z + 4) \frac{1}{z \cdot z + z \cdot 1}$

Step 3.4

Factor $z$ out of $z \cdot z + z \cdot 1$ .

$(z + 4) \frac{1}{z (z + 1)}$

Step 4

Multiply $z + 4$ by $\frac{1}{z (z + 1)}$ .

$\frac{z + 4}{z (z + 1)}$