Basic Math Examples

$\frac{1}{\frac{11}{\frac{11}{1 - \frac{1}{2}}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$1 \frac{\frac{11}{1 - \frac{1}{2}}}{11}$

Step 2

Multiply $\frac{\frac{11}{1 - \frac{1}{2}}}{11}$ by $1$ .

$\frac{\frac{11}{1 - \frac{1}{2}}}{11}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{11}{1 - \frac{1}{2}} \cdot \frac{1}{11}$

Step 4

Cancel the common factor of $11$ .

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Step 4.1

Cancel the common factor.

$\frac{11}{1 - \frac{1}{2}} \cdot \frac{1}{11}$

Step 4.2

Rewrite the expression.

$\frac{1}{1 - \frac{1}{2}}$

Step 5

Simplify the denominator.

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Step 5.1

Write $1$ as a fraction with a common denominator.

$\frac{1}{\frac{2}{2} - \frac{1}{2}}$

Step 5.2

Combine the numerators over the common denominator.

$\frac{1}{\frac{2 - 1}{2}}$

Step 5.3

Subtract $1$ from $2$ .

$\frac{1}{\frac{1}{2}}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$1 \cdot 2$

Step 7

Multiply $2$ by $1$ .

$2$