Algebra Examples

$- \frac{\sqrt{3}}{5} + 10.8$

Step 1

To write $10.8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{\sqrt{3}}{5} + 10.8 \cdot \frac{5}{5}$

Step 2

Combine $10.8$ and $\frac{5}{5}$ .

$- \frac{\sqrt{3}}{5} + \frac{10.8 \cdot 5}{5}$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{- \sqrt{3} + 10.8 \cdot 5}{5}$

Step 3.2

Multiply $10.8$ by $5$ .

$\frac{- \sqrt{3} + 54}{5}$

Step 4

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

$\frac{- (\sqrt{3}) + 54}{5}$

Step 5

Rewrite $54$ as $- 1 (- 54)$ .

$\frac{- (\sqrt{3}) - 1 (- 54)}{5}$

Step 6

Factor $- 1$ out of $- (\sqrt{3}) - 1 (- 54)$ .

$\frac{- (\sqrt{3} - 54)}{5}$

Step 7

Simplify the expression.

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Step 7.1

Rewrite $- (\sqrt{3} - 54)$ as $- 1 (\sqrt{3} - 54)$ .

$\frac{- 1 (\sqrt{3} - 54)}{5}$

Step 7.2

Move the negative in front of the fraction.

$- \frac{\sqrt{3} - 54}{5}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt{3} - 54}{5}$

Decimal Form:

$10.45358983 \dots$