Basic Math Examples

$(35 - (8 - 6) \div 2) - (27 \div (13 - 4))$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$35 - \frac{8 - 6}{2} - (27 \div (13 - 4))$

Step 1.2

Cancel the common factor of $8 - 6$ and $2$ .

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Step 1.2.1

Factor $2$ out of $8$ .

$35 - \frac{2 \cdot 4 - 6}{2} - (27 \div (13 - 4))$

Step 1.2.2

Factor $2$ out of $- 6$ .

$35 - \frac{2 \cdot 4 + 2 \cdot - 3}{2} - (27 \div (13 - 4))$

Step 1.2.3

Factor $2$ out of $2 \cdot 4 + 2 \cdot - 3$ .

$35 - \frac{2 \cdot (4 - 3)}{2} - (27 \div (13 - 4))$

Step 1.2.4

Cancel the common factors.

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Step 1.2.4.1

Factor $2$ out of $2$ .

$35 - \frac{2 \cdot (4 - 3)}{2 (1)} - (27 \div (13 - 4))$

Step 1.2.4.2

Cancel the common factor.

$35 - \frac{2 \cdot (4 - 3)}{2 \cdot 1} - (27 \div (13 - 4))$

Step 1.2.4.3

Rewrite the expression.

$35 - \frac{4 - 3}{1} - (27 \div (13 - 4))$

Step 1.2.4.4

Divide $4 - 3$ by $1$ .

$35 - (4 - 3) - (27 \div (13 - 4))$

Step 1.3

Subtract $3$ from $4$ .

$35 - 1 \cdot 1 - (27 \div (13 - 4))$

Step 1.4

Multiply $- 1$ by $1$ .

$35 - 1 - (27 \div (13 - 4))$

Step 1.5

Rewrite the division as a fraction.

$35 - 1 - \frac{27}{13 - 4}$

Step 1.6

Subtract $4$ from $13$ .

$35 - 1 - \frac{27}{9}$

Step 1.7

Divide $27$ by $9$ .

$35 - 1 - 1 \cdot 3$

Step 1.8

Multiply $- 1$ by $3$ .

$35 - 1 - 3$

Step 2

Simplify by subtracting numbers.

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Step 2.1

Subtract $1$ from $35$ .

$34 - 3$

Step 2.2

Subtract $3$ from $34$ .

$31$