Basic Math Examples

$(3 + (18 - 11) \cdot 6) \div 9$

Step 1

Rewrite the division as a fraction.

$\frac{3 + (18 - 11) \cdot 6}{9}$

Step 2

Cancel the common factor of $3 + (18 - 11) \cdot 6$ and $9$ .

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Step 2.1

Factor $3$ out of $3$ .

$\frac{3 (1) + (18 - 11) \cdot 6}{9}$

Step 2.2

Factor $3$ out of $(18 - 11) \cdot 6$ .

$\frac{3 (1) + 3 ((18 - 11) \cdot 2)}{9}$

Step 2.3

Factor $3$ out of $3 (1) + 3 ((18 - 11) \cdot 2)$ .

$\frac{3 (1 + (18 - 11) \cdot 2)}{9}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $3$ out of $9$ .

$\frac{3 (1 + (18 - 11) \cdot 2)}{3 \cdot 3}$

Step 2.4.2

Cancel the common factor.

$\frac{3 (1 + (18 - 11) \cdot 2)}{3 \cdot 3}$

Step 2.4.3

Rewrite the expression.

$\frac{1 + (18 - 11) \cdot 2}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Subtract $11$ from $18$ .

$\frac{1 + 7 \cdot 2}{3}$

Step 3.2

Multiply $7$ by $2$ .

$\frac{1 + 14}{3}$

Step 3.3

Add $1$ and $14$ .

$\frac{15}{3}$

Step 4

Divide $15$ by $3$ .

$5$