Basic Math Examples

$\frac{11}{12} \cdot \frac{8}{13} \div \frac{11}{13}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{11}{12} \cdot \frac{8}{13} \frac{13}{11}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $12$ .

$\frac{11}{4 (3)} \cdot \frac{8}{13} \frac{13}{11}$

Step 2.2

Factor $4$ out of $8$ .

$\frac{11}{4 \cdot 3} \cdot \frac{4 \cdot 2}{13} \frac{13}{11}$

Step 2.3

Cancel the common factor.

$\frac{11}{4 \cdot 3} \cdot \frac{4 \cdot 2}{13} \frac{13}{11}$

Step 2.4

Rewrite the expression.

$\frac{11}{3} \cdot \frac{2}{13} \frac{13}{11}$

Step 3

Multiply $\frac{11}{3}$ by $\frac{2}{13}$ .

$\frac{11 \cdot 2}{3 \cdot 13} \cdot \frac{13}{11}$

Step 4

Multiply.

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Step 4.1

Multiply $11$ by $2$ .

$\frac{22}{3 \cdot 13} \cdot \frac{13}{11}$

Step 4.2

Multiply $3$ by $13$ .

$\frac{22}{39} \cdot \frac{13}{11}$

Step 5

Cancel the common factor of $11$ .

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Step 5.1

Factor $11$ out of $22$ .

$\frac{11 (2)}{39} \cdot \frac{13}{11}$

Step 5.2

Cancel the common factor.

$\frac{11 \cdot 2}{39} \cdot \frac{13}{11}$

Step 5.3

Rewrite the expression.

$\frac{2}{39} \cdot 13$

Step 6

Cancel the common factor of $13$ .

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Step 6.1

Factor $13$ out of $39$ .

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

Step 6.2

Cancel the common factor.

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

Step 6.3

Rewrite the expression.

$\frac{2}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$