Precalculus Examples

$\frac{7 x + 9}{9 x - 7} - \frac{9 x}{9 x - 7}$

Step 1

Combine the numerators over the common denominator.

$\frac{7 x + 9 - 9 x}{9 x - 7}$

Step 2

Subtract $9 x$ from $7 x$ .

$\frac{- 2 x + 9}{9 x - 7}$

Step 3

Factor $- 1$ out of $- 2 x$ .

$\frac{- (2 x) + 9}{9 x - 7}$

Step 4

Rewrite $9$ as $- 1 (- 9)$ .

$\frac{- (2 x) - 1 (- 9)}{9 x - 7}$

Step 5

Factor $- 1$ out of $- (2 x) - 1 (- 9)$ .

$\frac{- (2 x - 9)}{9 x - 7}$

Step 6

Simplify the expression.

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Step 6.1

Rewrite $- (2 x - 9)$ as $- 1 (2 x - 9)$ .

$\frac{- 1 (2 x - 9)}{9 x - 7}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{2 x - 9}{9 x - 7}$