Solve 1+b/a/1-frac{b{a}}

$$\frac { 1 + \frac { b } { a } } { 1 - \frac { b } { a } }$$

Evaluate

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

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a}{a}.

$$\frac{\frac{a}{a}+\frac{b}{a}}{1-\frac{b}{a}}$$

Since \frac{a}{a} and \frac{b}{a} have the same denominator, add them by adding their numerators.

$$\frac{\frac{a+b}{a}}{1-\frac{b}{a}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a}{a}.

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

Since \frac{a}{a} and \frac{b}{a} have the same denominator, subtract them by subtracting their numerators.

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

Divide \frac{a+b}{a} by \frac{a-b}{a} by multiplying \frac{a+b}{a} by the reciprocal of \frac{a-b}{a}.

$$\frac{\left(a+b\right)a}{a\left(a-b\right)}$$

Cancel out a in both numerator and denominator.

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

Expand

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

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a}{a}.

$$\frac{\frac{a}{a}+\frac{b}{a}}{1-\frac{b}{a}}$$

Since \frac{a}{a} and \frac{b}{a} have the same denominator, add them by adding their numerators.

$$\frac{\frac{a+b}{a}}{1-\frac{b}{a}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a}{a}.

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

Since \frac{a}{a} and \frac{b}{a} have the same denominator, subtract them by subtracting their numerators.

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

Divide \frac{a+b}{a} by \frac{a-b}{a} by multiplying \frac{a+b}{a} by the reciprocal of \frac{a-b}{a}.

$$\frac{\left(a+b\right)a}{a\left(a-b\right)}$$

Cancel out a in both numerator and denominator.

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