Finite Math Examples

$\frac{\frac{{(1 - 3)}^{2} - 14}{\sqrt{16} - 20}}{2 + 9}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{{(1 - 3)}^{2} - 14}{\sqrt{16} - 20} \cdot \frac{1}{2 + 9}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Subtract $3$ from $1$ .

$\frac{{(- 2)}^{2} - 14}{\sqrt{16} - 20} \cdot \frac{1}{2 + 9}$

Step 2.2

Raise $- 2$ to the power of $2$ .

$\frac{4 - 14}{\sqrt{16} - 20} \cdot \frac{1}{2 + 9}$

Step 2.3

Subtract $14$ from $4$ .

$\frac{- 10}{\sqrt{16} - 20} \cdot \frac{1}{2 + 9}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Rewrite $16$ as $4^{2}$ .

$\frac{- 10}{\sqrt{4^{2}} - 20} \cdot \frac{1}{2 + 9}$

Step 3.2

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

$\frac{- 10}{4 - 20} \cdot \frac{1}{2 + 9}$

Step 3.3

Subtract $20$ from $4$ .

$\frac{- 10}{- 16} \cdot \frac{1}{2 + 9}$

Step 4

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 4.1

Cancel the common factor of $- 10$ and $- 16$ .

Tap for more steps...

Step 4.1.1

Factor $- 2$ out of $- 10$ .

$\frac{- 2 (5)}{- 16} \cdot \frac{1}{2 + 9}$

Step 4.1.2

Cancel the common factors.

Tap for more steps...

Step 4.1.2.1

Factor $- 2$ out of $- 16$ .

$\frac{- 2 \cdot 5}{- 2 \cdot 8} \cdot \frac{1}{2 + 9}$

Step 4.1.2.2

Cancel the common factor.

$\frac{- 2 \cdot 5}{- 2 \cdot 8} \cdot \frac{1}{2 + 9}$

Step 4.1.2.3

Rewrite the expression.

$\frac{5}{8} \cdot \frac{1}{2 + 9}$

Step 4.2

Add $2$ and $9$ .

$\frac{5}{8} \cdot \frac{1}{11}$

Step 5

Multiply $\frac{5}{8} \cdot \frac{1}{11}$ .

Tap for more steps...

Step 5.1

Multiply $\frac{5}{8}$ by $\frac{1}{11}$ .

$\frac{5}{8 \cdot 11}$

Step 5.2

Multiply $8$ by $11$ .

$\frac{5}{88}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{88}$

Decimal Form:

$0.056\overline{81}$