Basic Math Examples

$\frac{2}{3} \cdot \frac{6}{7} \div 2$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{2}{3} \cdot \frac{6}{7}}{2}$

Step 2

Multiply $\frac{2}{3}$ by $\frac{6}{7}$ .

$\frac{\frac{2 \cdot 6}{3 \cdot 7}}{2}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $2$ by $6$ .

$\frac{\frac{12}{3 \cdot 7}}{2}$

Step 3.2

Multiply $3$ by $7$ .

$\frac{\frac{12}{21}}{2}$

Step 3.3

Cancel the common factor of $12$ and $21$ .

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Step 3.3.1

Factor $3$ out of $12$ .

$\frac{\frac{3 (4)}{21}}{2}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $3$ out of $21$ .

$\frac{\frac{3 \cdot 4}{3 \cdot 7}}{2}$

Step 3.3.2.2

Cancel the common factor.

$\frac{\frac{3 \cdot 4}{3 \cdot 7}}{2}$

Step 3.3.2.3

Rewrite the expression.

$\frac{\frac{4}{7}}{2}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{7} \cdot \frac{1}{2}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $4$ .

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

Step 5.2

Cancel the common factor.

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

Step 5.3

Rewrite the expression.

$\frac{2}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{7}$

Decimal Form:

$0.\overline{285714}$