Pre-Algebra Examples

$\frac{14}{15} \cdot \frac{6}{7}$

Step 1

Cancel the common factor of $7$ .

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Step 1.1

Factor $7$ out of $14$ .

$\frac{7 (2)}{15} \cdot \frac{6}{7}$

Step 1.2

Cancel the common factor.

$\frac{7 \cdot 2}{15} \cdot \frac{6}{7}$

Step 1.3

Rewrite the expression.

$\frac{2}{15} \cdot 6$

$\frac{2}{15} \cdot 6$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $15$ .

$\frac{2}{3 (5)} \cdot 6$

Step 2.2

Factor $3$ out of $6$ .

$\frac{2}{3 \cdot 5} \cdot (3 \cdot 2)$

Step 2.3

Cancel the common factor.

$\frac{2}{3 \cdot 5} \cdot (3 \cdot 2)$

Step 2.4

Rewrite the expression.

$\frac{2}{5} \cdot 2$

$\frac{2}{5} \cdot 2$

Step 3

Combine $\frac{2}{5}$ and $2$ .

$\frac{2 \cdot 2}{5}$

Step 4

Multiply $2$ by $2$ .

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$

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