Simplify (a/b+c)/(a/b-c)

$\frac{\frac{a}{b} + c}{\frac{a}{b} - c}$

Multiply the numerator and denominator of the complex fraction by $b$ .

Multiply $\frac{\frac{a}{b} + c}{\frac{a}{b} - c}$ by $\frac{b}{b}$ .

$\frac{b}{b} \cdot \frac{\frac{a}{b} + c}{\frac{a}{b} - c}$

Combine.

$\frac{b (\frac{a}{b} + c)}{b (\frac{a}{b} - c)}$

Apply the distributive property.

$\frac{b \frac{a}{b} + b c}{b \frac{a}{b} + b (- c)}$

Simplify by cancelling.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b \frac{a}{b} + b c}{b \frac{a}{b} + b (- c)}$

Rewrite the expression.

$\frac{a + b c}{b \frac{a}{b} + b (- c)}$

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{a + b c}{b \frac{a}{b} + b (- c)}$

Rewrite the expression.

$\frac{a + b c}{a + b (- c)}$

Rewrite using the commutative property of multiplication.

$\frac{a + b c}{a - b c}$