Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

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

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

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

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

Step 4

Move $2$ to the left of $x$ .

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

Step 5

Split the fraction $\frac{x - 1}{2 x}$ into two fractions.

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

Step 6

Cancel the common factor of $x$ .

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Step 6.1

Cancel the common factor.

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

Step 6.2

Rewrite the expression.

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

Step 7

Move the negative in front of the fraction.

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