Algebra Examples

$\frac{5}{4} + \frac{3}{4 (x + 2)}$

Step 1

To write $\frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{x + 2}{x + 2}$ .

$\frac{5}{4} \cdot \frac{x + 2}{x + 2} + \frac{3}{4 (x + 2)}$

Step 2

Simplify terms.

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Step 2.1

Multiply $\frac{5}{4}$ by $\frac{x + 2}{x + 2}$ .

$\frac{5 (x + 2)}{4 (x + 2)} + \frac{3}{4 (x + 2)}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{5 (x + 2) + 3}{4 (x + 2)}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

$\frac{5 x + 5 \cdot 2 + 3}{4 (x + 2)}$

Step 3.2

Multiply $5$ by $2$ .

$\frac{5 x + 10 + 3}{4 (x + 2)}$

Step 3.3

Add $10$ and $3$ .

$\frac{5 x + 13}{4 (x + 2)}$