Algebra Examples

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

Step 1

Simplify the denominator.

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Step 1.1

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

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 1.3

Add $1$ and $2$ .

$\frac{1}{\frac{3}{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$1 (\frac{2}{3})$

Step 3

Multiply $\frac{2}{3}$ by $1$ .

$\frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$