Basic Math Examples

$\frac{21}{\frac{77}{\frac{3}{13}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$21 \frac{\frac{3}{13}}{77}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $21$ .

$7 (3) \frac{\frac{3}{13}}{77}$

Step 2.2

Factor $7$ out of $77$ .

$7 \cdot 3 \frac{\frac{3}{13}}{7 \cdot 11}$

Step 2.3

Cancel the common factor.

$7 \cdot 3 \frac{\frac{3}{13}}{7 \cdot 11}$

Step 2.4

Rewrite the expression.

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

Step 3

Combine $3$ and $\frac{\frac{3}{13}}{11}$ .

$\frac{3 (\frac{3}{13})}{11}$

Step 4

Combine $3$ and $\frac{3}{13}$ .

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

Step 5

Multiply $3$ by $3$ .

$\frac{\frac{9}{13}}{11}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{13} \cdot \frac{1}{11}$

Step 7

Multiply $\frac{9}{13} \cdot \frac{1}{11}$ .

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Step 7.1

Multiply $\frac{9}{13}$ by $\frac{1}{11}$ .

$\frac{9}{13 \cdot 11}$

Step 7.2

Multiply $13$ by $11$ .

$\frac{9}{143}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{143}$

Decimal Form:

$0.\overline{062937}$