Algebra Examples

$2 (\frac{1}{2} + 0.5 - \frac{4}{4})$

Step 1

Find the common denominator.

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Step 1.1

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

$2 (\frac{1}{2} \cdot \frac{2}{2} + 0.5 - \frac{4}{4})$

Step 1.2

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

$2 (\frac{2}{2 \cdot 2} + 0.5 - \frac{4}{4})$

Step 1.3

Write $0.5$ as a fraction with denominator $1$ .

$2 (\frac{2}{2 \cdot 2} + \frac{0.5}{1} - \frac{4}{4})$

Step 1.4

Multiply $\frac{0.5}{1}$ by $\frac{4}{4}$ .

$2 (\frac{2}{2 \cdot 2} + \frac{0.5}{1} \cdot \frac{4}{4} - \frac{4}{4})$

Step 1.5

Multiply $\frac{0.5}{1}$ by $\frac{4}{4}$ .

$2 (\frac{2}{2 \cdot 2} + \frac{0.5 \cdot 4}{4} - \frac{4}{4})$

Step 1.6

Multiply $2$ by $2$ .

$2 (\frac{2}{4} + \frac{0.5 \cdot 4}{4} - \frac{4}{4})$

Step 2

Combine the numerators over the common denominator.

$2 \frac{2 + 0.5 \cdot 4 - 4}{4}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $0.5$ by $4$ .

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

Step 3.2

Add $2$ and $2$ .

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

Step 3.3

Subtract $4$ from $4$ .

$2 (\frac{0}{4})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $4$ .

$2 \frac{0}{2 (2)}$

Step 4.2

Cancel the common factor.

$2 \frac{0}{2 \cdot 2}$

Step 4.3

Rewrite the expression.

$\frac{0}{2}$

Step 5

Divide $0$ by $2$ .

$0$