Basic Math Examples

$\frac{2 - \frac{1}{k}}{1 + \frac{1}{k}}$

Step 1

Multiply the numerator and denominator of the fraction by $k$ .

Tap for more steps...

Step 1.1

Multiply $\frac{2 - \frac{1}{k}}{1 + \frac{1}{k}}$ by $\frac{k}{k}$ .

$\frac{k}{k} \cdot \frac{2 - \frac{1}{k}}{1 + \frac{1}{k}}$

Step 1.2

Combine.

$\frac{k (2 - \frac{1}{k})}{k (1 + \frac{1}{k})}$

Step 2

Apply the distributive property.

$\frac{k \cdot 2 + k (- \frac{1}{k})}{k \cdot 1 + k \frac{1}{k}}$

Step 3

Simplify by cancelling.

Tap for more steps...

Step 3.1

Cancel the common factor of $k$ .

Tap for more steps...

Step 3.1.1

Move the leading negative in $- \frac{1}{k}$ into the numerator.

$\frac{k \cdot 2 + k \frac{- 1}{k}}{k \cdot 1 + k \frac{1}{k}}$

Step 3.1.2

Cancel the common factor.

$\frac{k \cdot 2 + k \frac{- 1}{k}}{k \cdot 1 + k \frac{1}{k}}$

Step 3.1.3

Rewrite the expression.

$\frac{k \cdot 2 - 1}{k \cdot 1 + k \frac{1}{k}}$

Step 3.2

Cancel the common factor of $k$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$\frac{k \cdot 2 - 1}{k \cdot 1 + k \frac{1}{k}}$

Step 3.2.2

Rewrite the expression.

$\frac{k \cdot 2 - 1}{k \cdot 1 + 1}$

Step 4

Move $2$ to the left of $k$ .

$\frac{2 k - 1}{k \cdot 1 + 1}$

Step 5

Multiply $k$ by $1$ .

$\frac{2 k - 1}{k + 1}$