Pre-Algebra Examples

$\frac{3}{13} \div \frac{6}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{13} \cdot \frac{7}{6}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

$\frac{3}{13} \cdot \frac{7}{3 (2)}$

Step 2.2

Cancel the common factor.

$\frac{3}{13} \cdot \frac{7}{3 \cdot 2}$

Step 2.3

Rewrite the expression.

$\frac{1}{13} \cdot \frac{7}{2}$

Step 3

Multiply $\frac{1}{13}$ by $\frac{7}{2}$ .

$\frac{7}{13 \cdot 2}$

Step 4

Multiply $13$ by $2$ .

$\frac{7}{26}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{26}$

Decimal Form:

$0.2\overline{692307}$