Pre-Algebra Examples

$\frac{4}{x + 7} + 7$

Step 1

To write $7$ as a fraction with a common denominator, multiply by $\frac{x + 7}{x + 7}$ .

$\frac{4}{x + 7} + \frac{7 (x + 7)}{x + 7}$

Step 2

Combine the numerators over the common denominator.

$\frac{4 + 7 (x + 7)}{x + 7}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

$\frac{4 + 7 x + 7 \cdot 7}{x + 7}$

Step 3.2

Multiply $7$ by $7$ .

$\frac{4 + 7 x + 49}{x + 7}$

Step 3.3

Add $4$ and $49$ .

$\frac{7 x + 53}{x + 7}$