Basic Math Examples

$\sqrt{\frac{16}{4}} + \frac{1}{2}$

Step 1

Simplify each term.

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Step 1.1

Divide $16$ by $4$ .

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

Step 1.2

Rewrite $4$ as $2^{2}$ .

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

Step 1.3

Pull terms out from under the radical, assuming positive real numbers.

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

Step 2

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

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

Step 3

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

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $2$ .

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

Step 5.2

Add $4$ and $1$ .

$\frac{5}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$