Algebra Examples

$\frac{3}{4} \times \frac{2}{9}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $9$ .

$\frac{3}{4} \cdot \frac{2}{3 (3)}$

Step 1.2

Cancel the common factor.

$\frac{3}{4} \cdot \frac{2}{3 \cdot 3}$

Step 1.3

Rewrite the expression.

$\frac{1}{4} \cdot \frac{2}{3}$

$\frac{1}{4} \cdot \frac{2}{3}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$\frac{1}{2 (2)} \cdot \frac{2}{3}$

Step 2.2

Cancel the common factor.

$\frac{1}{2 \cdot 2} \cdot \frac{2}{3}$

Step 2.3

Rewrite the expression.

$\frac{1}{2} \cdot \frac{1}{3}$

$\frac{1}{2} \cdot \frac{1}{3}$

Step 3

Multiply $\frac{1}{2}$ by $\frac{1}{3}$ .

$\frac{1}{2 \cdot 3}$

Step 4

Multiply $2$ by $3$ .

$\frac{1}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$

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