Pre-Algebra Examples

$\frac{8}{9} \cdot \frac{27}{28}$

Step 1

Cancel the common factor of $4$ .

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Step 1.1

Factor $4$ out of $8$ .

$\frac{4 (2)}{9} \cdot \frac{27}{28}$

Step 1.2

Factor $4$ out of $28$ .

$\frac{4 \cdot 2}{9} \cdot \frac{27}{4 \cdot 7}$

Step 1.3

Cancel the common factor.

$\frac{4 \cdot 2}{9} \cdot \frac{27}{4 \cdot 7}$

Step 1.4

Rewrite the expression.

$\frac{2}{9} \cdot \frac{27}{7}$

$\frac{2}{9} \cdot \frac{27}{7}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Factor $9$ out of $27$ .

$\frac{2}{9} \cdot \frac{9 (3)}{7}$

Step 2.2

Cancel the common factor.

$\frac{2}{9} \cdot \frac{9 \cdot 3}{7}$

Step 2.3

Rewrite the expression.

$2 \cdot \frac{3}{7}$

$2 \cdot \frac{3}{7}$

Step 3

Combine $2$ and $\frac{3}{7}$ .

$\frac{2 \cdot 3}{7}$

Step 4

Multiply $2$ by $3$ .

$\frac{6}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$

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