Algebra Examples

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

Step 1

Combine into one fraction.

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Step 1.1

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

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 2

Simplify the numerator.

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Step 2.1

Subtract $1$ from $1$ .

$\frac{- x + 0}{1 - x}$

Step 2.2

Add $- x$ and $0$ .

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

Step 3

Move the negative in front of the fraction.

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