Solve 1+1/a/1-1/a

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

Evaluate

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

Solution Steps

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

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

Since \frac{a}{a} and \frac{1}{a} have the same denominator, add them by adding their numerators.

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

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

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

Since \frac{a}{a} and \frac{1}{a} have the same denominator, subtract them by subtracting their numerators.

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

Divide \frac{a+1}{a} by \frac{a-1}{a} by multiplying \frac{a+1}{a} by the reciprocal of \frac{a-1}{a}.

$$\frac{\left(a+1\right)a}{a\left(a-1\right)}$$

Cancel out a in both numerator and denominator.

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

Expand

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

Solution Steps

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

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

Since \frac{a}{a} and \frac{1}{a} have the same denominator, add them by adding their numerators.

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

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

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

Since \frac{a}{a} and \frac{1}{a} have the same denominator, subtract them by subtracting their numerators.

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

Divide \frac{a+1}{a} by \frac{a-1}{a} by multiplying \frac{a+1}{a} by the reciprocal of \frac{a-1}{a}.

$$\frac{\left(a+1\right)a}{a\left(a-1\right)}$$

Cancel out a in both numerator and denominator.

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