Basic Math Examples

$\frac{9 z + 18}{z} \div z \div \frac{2}{z}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9 z + 18}{z} \div z \cdot \frac{z}{2}$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{9 z + 18}{z}}{z} \cdot \frac{z}{2}$

Step 3

Cancel the common factor of $z$ .

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Step 3.1

Cancel the common factor.

$\frac{\frac{9 z + 18}{z}}{z} \cdot \frac{z}{2}$

Step 3.2

Rewrite the expression.

$\frac{9 z + 18}{z} \cdot \frac{1}{2}$

$\frac{9 z + 18}{z} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{9 z + 18}{z}$ by $\frac{1}{2}$ .

$\frac{9 z + 18}{z \cdot 2}$

Step 5

Factor $9$ out of $9 z + 18$ .

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Step 5.1

Factor $9$ out of $9 z$ .

$\frac{9 (z) + 18}{z \cdot 2}$

Step 5.2

Factor $9$ out of $18$ .

$\frac{9 z + 9 \cdot 2}{z \cdot 2}$

Step 5.3

Factor $9$ out of $9 z + 9 \cdot 2$ .

$\frac{9 (z + 2)}{z \cdot 2}$

$\frac{9 (z + 2)}{z \cdot 2}$

Step 6

Move $2$ to the left of $z$ .

$\frac{9 (z + 2)}{2 z}$

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