Basic Math Examples

$(6) (7) - (12 - 8) \div 4$

Step 1

Simplify each term.

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Step 1.1

Multiply $6$ by $7$ .

$42 - (12 - 8) \div 4$

Step 1.2

Rewrite the division as a fraction.

$42 - \frac{12 - 8}{4}$

Step 1.3

Cancel the common factor of $12 - 8$ and $4$ .

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Step 1.3.1

Factor $4$ out of $12$ .

$42 - \frac{4 \cdot 3 - 8}{4}$

Step 1.3.2

Factor $4$ out of $- 8$ .

$42 - \frac{4 \cdot 3 + 4 \cdot - 2}{4}$

Step 1.3.3

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

$42 - \frac{4 \cdot (3 - 2)}{4}$

Step 1.3.4

Cancel the common factors.

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Step 1.3.4.1

Factor $4$ out of $4$ .

$42 - \frac{4 \cdot (3 - 2)}{4 (1)}$

Step 1.3.4.2

Cancel the common factor.

$42 - \frac{4 \cdot (3 - 2)}{4 \cdot 1}$

Step 1.3.4.3

Rewrite the expression.

$42 - \frac{3 - 2}{1}$

Step 1.3.4.4

Divide $3 - 2$ by $1$ .

$42 - (3 - 2)$

$42 - (3 - 2)$

$42 - (3 - 2)$

Step 1.4

Subtract $2$ from $3$ .

$42 - 1 \cdot 1$

Step 1.5

Multiply $- 1$ by $1$ .

$42 - 1$

$42 - 1$

Step 2

Subtract $1$ from $42$ .

$41$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$