Algebra Examples

$2 \cdot 2 - 4 \div 2 + 4$

Step 1

Find the common denominator.

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Step 1.1

Write $2 \cdot 2$ as a fraction with denominator $1$ .

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

Step 1.2

Multiply $\frac{2 \cdot 2}{1}$ by $\frac{2}{2}$ .

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

Step 1.3

Multiply $\frac{2 \cdot 2}{1}$ by $\frac{2}{2}$ .

$\frac{2 \cdot 2 \cdot 2}{2} - 4 \div 2 + 4$

Step 1.4

Write $4$ as a fraction with denominator $1$ .

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

Step 1.5

Multiply $\frac{4}{1}$ by $\frac{2}{2}$ .

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

Step 1.6

Multiply $\frac{4}{1}$ by $\frac{2}{2}$ .

$\frac{2 \cdot 2 \cdot 2}{2} - 4 \div 2 + \frac{4 \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

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Step 3.1

Multiply $2 \cdot 2 \cdot 2$ .

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Step 3.1.1

Multiply $2$ by $2$ .

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

Step 3.1.2

Multiply $4$ by $2$ .

$\frac{8 - 4 + 4 \cdot 2}{2}$

Step 3.2

Multiply $4$ by $2$ .

$\frac{8 - 4 + 8}{2}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $4$ from $8$ .

$\frac{4 + 8}{2}$

Step 4.2

Add $4$ and $8$ .

$\frac{12}{2}$

Step 4.3

Divide $12$ by $2$ .

$6$