Pre-Algebra Examples

$\frac{1}{2} \cdot (6 x + 11) + \frac{1}{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$\frac{1}{2} (6 x) + \frac{1}{2} \cdot 11 + \frac{1}{2}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $6 x$ .

$\frac{1}{2} (2 (3 x)) + \frac{1}{2} \cdot 11 + \frac{1}{2}$

Step 1.2.2

Cancel the common factor.

$\frac{1}{2} (2 (3 x)) + \frac{1}{2} \cdot 11 + \frac{1}{2}$

Step 1.2.3

Rewrite the expression.

$3 x + \frac{1}{2} \cdot 11 + \frac{1}{2}$

Step 1.3

Combine $\frac{1}{2}$ and $11$ .

$3 x + \frac{11}{2} + \frac{1}{2}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$3 x + \frac{11 + 1}{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $11$ and $1$ .

$3 x + \frac{12}{2}$

Step 2.2.2

Divide $12$ by $2$ .

$3 x + 6$