Algebra Examples

$\frac{(x + 7)}{(\frac{x}{7} - 7)}$

Step 1

Multiply the numerator and denominator of the fraction by $7$ .

Tap for more steps...

Step 1.1

Multiply $\frac{x + 7}{\frac{x}{7} - 7}$ by $\frac{7}{7}$ .

$\frac{7}{7} \cdot \frac{x + 7}{\frac{x}{7} - 7}$

Step 1.2

Combine.

$\frac{7 (x + 7)}{7 (\frac{x}{7} - 7)}$

Step 2

Apply the distributive property.

$\frac{7 x + 7 \cdot 7}{7 \frac{x}{7} + 7 \cdot - 7}$

Step 3

Simplify terms.

Tap for more steps...

Step 3.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 3.1.1

Cancel the common factor.

$\frac{7 x + 7 \cdot 7}{7 \frac{x}{7} + 7 \cdot - 7}$

Step 3.1.2

Rewrite the expression.

$\frac{7 x + 7 \cdot 7}{x + 7 \cdot - 7}$

Step 3.2

Factor $7$ out of $7 x + 7 \cdot 7$ .

Tap for more steps...

Step 3.2.1

Factor $7$ out of $7 x$ .

$\frac{7 (x) + 7 \cdot 7}{x + 7 \cdot - 7}$

Step 3.2.2

Factor $7$ out of $7 \cdot 7$ .

$\frac{7 (x) + 7 (7)}{x + 7 \cdot - 7}$

Step 3.2.3

Factor $7$ out of $7 (x) + 7 (7)$ .

$\frac{7 (x + 7)}{x + 7 \cdot - 7}$

Step 3.3

Multiply $7$ by $- 7$ .

$\frac{7 (x + 7)}{x - 49}$