Basic Math Examples

$\frac{6}{7} \div \frac{5}{14}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{7} \cdot \frac{14}{5}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $14$ .

$\frac{6}{7} \cdot \frac{7 (2)}{5}$

Step 2.2

Cancel the common factor.

$\frac{6}{7} \cdot \frac{7 \cdot 2}{5}$

Step 2.3

Rewrite the expression.

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

Step 3

Combine $6$ and $\frac{2}{5}$ .

$\frac{6 \cdot 2}{5}$

Step 4

Multiply $6$ by $2$ .

$\frac{12}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$