Pre-Algebra Examples

$\frac{18}{21} \div 3$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{18}{21}}{3}$

Step 2

Cancel the common factor of $18$ and $21$ .

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Step 2.1

Factor $3$ out of $18$ .

$\frac{\frac{3 (6)}{21}}{3}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $21$ .

$\frac{\frac{3 \cdot 6}{3 \cdot 7}}{3}$

Step 2.2.2

Cancel the common factor.

$\frac{\frac{3 \cdot 6}{3 \cdot 7}}{3}$

Step 2.2.3

Rewrite the expression.

$\frac{\frac{6}{7}}{3}$

$\frac{\frac{6}{7}}{3}$

$\frac{\frac{6}{7}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{6}{7} \cdot \frac{1}{3}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $6$ .

$\frac{3 (2)}{7} \cdot \frac{1}{3}$

Step 4.2

Cancel the common factor.

$\frac{3 \cdot 2}{7} \cdot \frac{1}{3}$

Step 4.3

Rewrite the expression.

$\frac{2}{7}$

$\frac{2}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{7}$

Decimal Form:

$0.\overline{285714}$

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