Basic Math Examples

$\frac{1}{2} + 5.5 \sqrt{9}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $9$ as $3^{2}$ .

$\frac{1}{2} + 5.5 \sqrt{3^{2}}$

Step 1.2

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

$\frac{1}{2} + 5.5 \cdot 3$

Step 1.3

Multiply $5.5$ by $3$ .

$\frac{1}{2} + 16.5$

Step 2

To write $16.5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + 16.5 \cdot \frac{2}{2}$

Step 3

Combine $16.5$ and $\frac{2}{2}$ .

$\frac{1}{2} + \frac{16.5 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{1 + 16.5 \cdot 2}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $16.5$ by $2$ .

$\frac{1 + 33}{2}$

Step 5.2

Add $1$ and $33$ .

$\frac{34}{2}$

Step 6

Divide $34$ by $2$ .

$17$