Basic Math Examples

$\frac{j}{j - 4} + \frac{4}{4 - j}$

Step 1

Rewrite $4$ as $- 1 (- 4)$ .

$\frac{j}{j - 4} + \frac{4}{- 1 (- 4) - j}$

Step 2

Factor $- 1$ out of $- j$ .

$\frac{j}{j - 4} + \frac{4}{- 1 (- 4) - (j)}$

Step 3

Factor $- 1$ out of $- 1 (- 4) - (j)$ .

$\frac{j}{j - 4} + \frac{4}{- 1 (- 4 + j)}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Move a negative from the denominator of $\frac{4}{- 1 (- 4 + j)}$ to the numerator.

$\frac{j}{j - 4} + \frac{- 1 \cdot 4}{- 4 + j}$

Step 4.2

Reorder terms.

$\frac{j}{j - 4} + \frac{- 1 \cdot 4}{j - 4}$

Step 5

Combine the numerators over the common denominator.

$\frac{j - 1 \cdot 4}{j - 4}$

Step 6

Multiply $- 1$ by $4$ .

$\frac{j - 4}{j - 4}$

Step 7

Cancel the common factor of $j - 4$ .

Tap for more steps...

Step 7.1

Cancel the common factor.

$\frac{j - 4}{j - 4}$

Step 7.2

Rewrite the expression.

$1$