Algebra Examples

$- \frac{\sqrt{3}}{2} + \frac{1}{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{- \sqrt{3} + 1}{2}$

Step 2

Factor $- 1$ out of $- \sqrt{3}$ .

$\frac{- (\sqrt{3}) + 1}{2}$

Step 3

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- (\sqrt{3}) - 1 (- 1)}{2}$

Step 4

Factor $- 1$ out of $- (\sqrt{3}) - 1 (- 1)$ .

$\frac{- (\sqrt{3} - 1)}{2}$

Step 5

Simplify the expression.

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Step 5.1

Rewrite $- (\sqrt{3} - 1)$ as $- 1 (\sqrt{3} - 1)$ .

$\frac{- 1 (\sqrt{3} - 1)}{2}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{\sqrt{3} - 1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt{3} - 1}{2}$

Decimal Form:

$- 0.36602540 \dots$