Algebra Examples

$\frac{\frac{1}{2} + 2}{\frac{1}{2}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

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

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

Step 3

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

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

Step 4

Combine the numerators over the common denominator.

$\frac{1 + 2 \cdot 2}{2} \cdot 2$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $2$ .

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

Step 5.2

Add $1$ and $4$ .

$\frac{5}{2} \cdot 2$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Cancel the common factor.

$\frac{5}{2} \cdot 2$

Step 6.2

Rewrite the expression.

$5$