Basic Math Examples

$\frac{{(y + 7)}^{2}}{8 y^{3} z} \div \frac{y + 7}{y z}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{{(y + 7)}^{2}}{8 y^{3} z} \cdot \frac{y z}{y + 7}$

Step 2

Cancel the common factor of $y + 7$ .

Tap for more steps...

Step 2.1

Factor $y + 7$ out of ${(y + 7)}^{2}$ .

$\frac{(y + 7) (y + 7)}{8 y^{3} z} \cdot \frac{y z}{y + 7}$

Step 2.2

Cancel the common factor.

$\frac{(y + 7) (y + 7)}{8 y^{3} z} \cdot \frac{y z}{y + 7}$

Step 2.3

Rewrite the expression.

$\frac{y + 7}{8 y^{3} z} (y z)$

Step 3

Cancel the common factor of $y z$ .

Tap for more steps...

Step 3.1

Factor $y z$ out of $8 y^{3} z$ .

$\frac{y + 7}{y z (8 y^{2})} (y z)$

Step 3.2

Cancel the common factor.

$\frac{y + 7}{y z (8 y^{2})} (y z)$

Step 3.3

Rewrite the expression.

$\frac{y + 7}{8 y^{2}}$