Finite Math Examples

$(- \frac{2}{9}) (11) + 3$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Multiply $(- \frac{2}{9}) (11)$ .

Tap for more steps...

Step 1.1.1

Multiply $11$ by $- 1$ .

$- 11 (\frac{2}{9}) + 3$

Step 1.1.2

Combine $- 11$ and $\frac{2}{9}$ .

$\frac{- 11 \cdot 2}{9} + 3$

Step 1.1.3

Multiply $- 11$ by $2$ .

$\frac{- 22}{9} + 3$

Step 1.2

Move the negative in front of the fraction.

$- \frac{22}{9} + 3$

Step 2

To write $3$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$- \frac{22}{9} + 3 \cdot \frac{9}{9}$

Step 3

Combine $3$ and $\frac{9}{9}$ .

$- \frac{22}{9} + \frac{3 \cdot 9}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 22 + 3 \cdot 9}{9}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $3$ by $9$ .

$\frac{- 22 + 27}{9}$

Step 5.2

Add $- 22$ and $27$ .

$\frac{5}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{9}$

Decimal Form:

$0.\overline{5}$