Algebra Examples

$\frac{3}{4} \cdot \frac{12}{27}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $27$ .

$\frac{3}{4} \cdot \frac{12}{3 (9)}$

Step 1.2

Cancel the common factor.

$\frac{3}{4} \cdot \frac{12}{3 \cdot 9}$

Step 1.3

Rewrite the expression.

$\frac{1}{4} \cdot \frac{12}{9}$

$\frac{1}{4} \cdot \frac{12}{9}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $12$ .

$\frac{1}{4} \cdot \frac{4 (3)}{9}$

Step 2.2

Cancel the common factor.

$\frac{1}{4} \cdot \frac{4 \cdot 3}{9}$

Step 2.3

Rewrite the expression.

$\frac{3}{9}$

$\frac{3}{9}$

Step 3

Cancel the common factor of $3$ and $9$ .

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Step 3.1

Factor $3$ out of $3$ .

$\frac{3 (1)}{9}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $9$ .

$\frac{3 \cdot 1}{3 \cdot 3}$

Step 3.2.2

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{3}$

$\frac{1}{3}$

$\frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$

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