Basic Math Examples

$\frac{9 z - 27}{6 z - 18}$

Step 1

Cancel the common factor of $9 z - 27$ and $6 z - 18$ .

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Step 1.1

Factor $3$ out of $9 z$ .

$\frac{3 (3 z) - 27}{6 z - 18}$

Step 1.2

Factor $3$ out of $- 27$ .

$\frac{3 (3 z) + 3 (- 9)}{6 z - 18}$

Step 1.3

Factor $3$ out of $3 (3 z) + 3 (- 9)$ .

$\frac{3 (3 z - 9)}{6 z - 18}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $3$ out of $6 z$ .

$\frac{3 (3 z - 9)}{3 (2 z) - 18}$

Step 1.4.2

Factor $3$ out of $- 18$ .

$\frac{3 (3 z - 9)}{3 (2 z) + 3 (- 6)}$

Step 1.4.3

Factor $3$ out of $3 (2 z) + 3 (- 6)$ .

$\frac{3 (3 z - 9)}{3 (2 z - 6)}$

Step 1.4.4

Cancel the common factor.

$\frac{3 (3 z - 9)}{3 (2 z - 6)}$

Step 1.4.5

Rewrite the expression.

$\frac{3 z - 9}{2 z - 6}$

$\frac{3 z - 9}{2 z - 6}$

$\frac{3 z - 9}{2 z - 6}$

Step 2

Factor $3$ out of $3 z - 9$ .

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Step 2.1

Factor $3$ out of $3 z$ .

$\frac{3 (z) - 9}{2 z - 6}$

Step 2.2

Factor $3$ out of $- 9$ .

$\frac{3 z + 3 \cdot - 3}{2 z - 6}$

Step 2.3

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

$\frac{3 (z - 3)}{2 z - 6}$

$\frac{3 (z - 3)}{2 z - 6}$

Step 3

Factor $2$ out of $2 z - 6$ .

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Step 3.1

Factor $2$ out of $2 z$ .

$\frac{3 (z - 3)}{2 (z) - 6}$

Step 3.2

Factor $2$ out of $- 6$ .

$\frac{3 (z - 3)}{2 z + 2 \cdot - 3}$

Step 3.3

Factor $2$ out of $2 z + 2 \cdot - 3$ .

$\frac{3 (z - 3)}{2 (z - 3)}$

$\frac{3 (z - 3)}{2 (z - 3)}$

Step 4

Cancel the common factor of $z - 3$ .

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Step 4.1

Cancel the common factor.

$\frac{3 (z - 3)}{2 (z - 3)}$

Step 4.2

Rewrite the expression.

$\frac{3}{2}$

$\frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

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