Basic Math Examples

$3 + \frac{2 (a - 2)}{4}$

Step 1

Cancel the common factors.

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Step 1.1

Factor $2$ out of $4$ .

$3 + \frac{2 (a - 2)}{2 \cdot 2}$

Step 1.2

Cancel the common factor.

$3 + \frac{2 (a - 2)}{2 \cdot 2}$

Step 1.3

Rewrite the expression.

$3 + \frac{a - 2}{2}$

Step 2

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$3 \cdot \frac{2}{2} + \frac{a - 2}{2}$

Step 3

Simplify terms.

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Step 3.1

Combine $3$ and $\frac{2}{2}$ .

$\frac{3 \cdot 2}{2} + \frac{a - 2}{2}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + a - 2}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $3$ by $2$ .

$\frac{6 + a - 2}{2}$

Step 4.2

Subtract $2$ from $6$ .

$\frac{a + 4}{2}$