Basic Math Examples

$\frac{81}{3 + 9 \cdot 18 - (6 \cdot 2)}$

Step 1

Cancel the common factor of $81$ and $3 + 9 \cdot 18 - (6 \cdot 2)$ .

Tap for more steps...

Step 1.1

Reorder terms.

$\frac{81}{- 1 \cdot 2 \cdot 6 + 9 \cdot 18 + 3}$

Step 1.2

Factor $3$ out of $81$ .

$\frac{3 \cdot 27}{- 1 \cdot 2 \cdot 6 + 9 \cdot 18 + 3}$

Step 1.3

Cancel the common factors.

Tap for more steps...

Step 1.3.1

Factor $3$ out of $- 1 \cdot 2 \cdot 6$ .

$\frac{3 \cdot 27}{3 (- 1 \cdot 2 \cdot 2) + 9 \cdot 18 + 3}$

Step 1.3.2

Factor $3$ out of $9 \cdot 18$ .

$\frac{3 \cdot 27}{3 (- 1 \cdot 2 \cdot 2) + 3 (3 \cdot 18) + 3}$

Step 1.3.3

Factor $3$ out of $3 (- 1 \cdot 2 \cdot 2) + 3 (3 \cdot 18)$ .

$\frac{3 \cdot 27}{3 (- 1 \cdot 2 \cdot 2 + 3 \cdot 18) + 3}$

Step 1.3.4

Factor $3$ out of $3$ .

$\frac{3 \cdot 27}{3 (- 1 \cdot 2 \cdot 2 + 3 \cdot 18) + 3 (1)}$

Step 1.3.5

Factor $3$ out of $3 (- 1 \cdot 2 \cdot 2 + 3 \cdot 18) + 3 (1)$ .

$\frac{3 \cdot 27}{3 (- 1 \cdot 2 \cdot 2 + 3 \cdot 18 + 1)}$

Step 1.3.6

Cancel the common factor.

$\frac{3 \cdot 27}{3 (- 1 \cdot 2 \cdot 2 + 3 \cdot 18 + 1)}$

Step 1.3.7

Rewrite the expression.

$\frac{27}{- 1 \cdot 2 \cdot 2 + 3 \cdot 18 + 1}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Multiply $- 1 \cdot 2 \cdot 2$ .

Tap for more steps...

Step 2.1.1

Multiply $- 1$ by $2$ .

$\frac{27}{- 2 \cdot 2 + 3 \cdot 18 + 1}$

Step 2.1.2

Multiply $- 2$ by $2$ .

$\frac{27}{- 4 + 3 \cdot 18 + 1}$

Step 2.2

Multiply $3$ by $18$ .

$\frac{27}{- 4 + 54 + 1}$

Step 2.3

Add $- 4$ and $54$ .

$\frac{27}{50 + 1}$

Step 2.4

Add $50$ and $1$ .

$\frac{27}{51}$

Step 3

Cancel the common factor of $27$ and $51$ .

Tap for more steps...

Step 3.1

Factor $3$ out of $27$ .

$\frac{3 (9)}{51}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $3$ out of $51$ .

$\frac{3 \cdot 9}{3 \cdot 17}$

Step 3.2.2

Cancel the common factor.

$\frac{3 \cdot 9}{3 \cdot 17}$

Step 3.2.3

Rewrite the expression.

$\frac{9}{17}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{17}$

Decimal Form:

$0.52941176 \dots$