Basic Math Examples

$\frac{\frac{4 z - 20}{25 z^{5}}}{\frac{3 z - 15}{5 z^{4}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{4 z - 20}{25 z^{5}} \cdot \frac{5 z^{4}}{3 z - 15}$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Cancel the common factor of $5 z^{4}$ .

Tap for more steps...

Step 2.1.1

Factor $5 z^{4}$ out of $25 z^{5}$ .

$\frac{4 z - 20}{5 z^{4} (5 z)} \cdot \frac{5 z^{4}}{3 z - 15}$

Step 2.1.2

Cancel the common factor.

$\frac{4 z - 20}{5 z^{4} (5 z)} \cdot \frac{5 z^{4}}{3 z - 15}$

Step 2.1.3

Rewrite the expression.

$\frac{4 z - 20}{5 z} \cdot \frac{1}{3 z - 15}$

Step 2.2

Multiply $\frac{4 z - 20}{5 z}$ by $\frac{1}{3 z - 15}$ .

$\frac{4 z - 20}{5 z (3 z - 15)}$

Step 2.3

Factor $4$ out of $4 z - 20$ .

Tap for more steps...

Step 2.3.1

Factor $4$ out of $4 z$ .

$\frac{4 (z) - 20}{5 z (3 z - 15)}$

Step 2.3.2

Factor $4$ out of $- 20$ .

$\frac{4 z + 4 \cdot - 5}{5 z (3 z - 15)}$

Step 2.3.3

Factor $4$ out of $4 z + 4 \cdot - 5$ .

$\frac{4 (z - 5)}{5 z (3 z - 15)}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Factor $3$ out of $3 z - 15$ .

Tap for more steps...

Step 3.1.1

Factor $3$ out of $3 z$ .

$\frac{4 (z - 5)}{5 z (3 (z) - 15)}$

Step 3.1.2

Factor $3$ out of $- 15$ .

$\frac{4 (z - 5)}{5 z (3 z + 3 \cdot - 5)}$

Step 3.1.3

Factor $3$ out of $3 z + 3 \cdot - 5$ .

$\frac{4 (z - 5)}{5 z (3 (z - 5))}$

$\frac{4 (z - 5)}{5 z \cdot 3 (z - 5)}$

Step 3.2

Multiply $3$ by $5$ .

$\frac{4 (z - 5)}{15 z (z - 5)}$

Step 4

Cancel the common factor of $z - 5$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{4 (z - 5)}{15 z (z - 5)}$

Step 4.2

Rewrite the expression.

$\frac{4}{15 z}$