Basic Math Examples

$2 \div 5 - \sqrt{3}$

Step 1

Rewrite the division as a fraction.

$\frac{2}{5} - \sqrt{3}$

Step 2

To write $- \sqrt{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{2}{5} - \sqrt{3} \cdot \frac{5}{5}$

Step 3

Combine $- \sqrt{3}$ and $\frac{5}{5}$ .

$\frac{2}{5} + \frac{- \sqrt{3} \cdot 5}{5}$

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{2 - \sqrt{3} \cdot 5}{5}$

Step 4.2

Multiply $5$ by $- 1$ .

$\frac{2 - 5 \sqrt{3}}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2 - 5 \sqrt{3}}{5}$

Decimal Form:

$- 1.33205080 \dots$