Basic Math Examples

$\frac{1}{2} \cdot (b - 4) + b$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$\frac{1}{2} b + \frac{1}{2} \cdot - 4 + b$

Step 1.2

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

$\frac{b}{2} + \frac{1}{2} \cdot - 4 + b$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $- 4$ .

$\frac{b}{2} + \frac{1}{2} \cdot (2 (- 2)) + b$

Step 1.3.2

Cancel the common factor.

$\frac{b}{2} + \frac{1}{2} \cdot (2 \cdot - 2) + b$

Step 1.3.3

Rewrite the expression.

$\frac{b}{2} - 2 + b$

Step 2

To write $b$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{b}{2} + b \cdot \frac{2}{2} - 2$

Step 3

Combine $b$ and $\frac{2}{2}$ .

$\frac{b}{2} + \frac{b \cdot 2}{2} - 2$

Step 4

Combine the numerators over the common denominator.

$\frac{b + b \cdot 2}{2} - 2$

Step 5

Add $b$ and $b \cdot 2$ .

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Step 5.1

Reorder $b$ and $2$ .

$\frac{b + 2 \cdot b}{2} - 2$

Step 5.2

Add $b$ and $2 \cdot b$ .

$\frac{3 b}{2} - 2$