Solve 1-2/p+1/pc

$$1 - \frac { 2 } { p } + \frac { 1 } { p c }$$

Evaluate

$$\frac{cp-2c+1}{cp}$$

Short Solution Steps

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

$$\frac{p}{p}-\frac{2}{p}+\frac{1}{pc}$$

Since \frac{p}{p} and \frac{2}{p} have the same denominator, subtract them by subtracting their numerators.

$$\frac{p-2}{p}+\frac{1}{pc}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of p and pc is cp. Multiply \frac{p-2}{p} times \frac{c}{c}.

$$\frac{\left(p-2\right)c}{cp}+\frac{1}{cp}$$

Since \frac{\left(p-2\right)c}{cp} and \frac{1}{cp} have the same denominator, add them by adding their numerators.

$$\frac{\left(p-2\right)c+1}{cp}$$

Do the multiplications in \left(p-2\right)c+1.

$$\frac{pc-2c+1}{cp}$$

Factor

$$\frac{\left(1-\frac{2}{p}\right)c+\frac{1}{p}}{c}$$