Basic Math Examples

$(4 \cdot 7 - 2) \div (16 - 7 \cdot 2)$

Step 1

Rewrite the division as a fraction.

$\frac{4 \cdot 7 - 2}{16 - 7 \cdot 2}$

Step 2

Cancel the common factor of $4 \cdot 7 - 2$ and $16 - 7 \cdot 2$ .

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Step 2.1

Rewrite $16$ as $- 1 (- 16)$ .

$\frac{4 \cdot 7 - 2}{- 1 (- 16) - 7 \cdot 2}$

Step 2.2

Factor $- 1$ out of $- 7 \cdot 2$ .

$\frac{4 \cdot 7 - 2}{- 1 (- 16) - (7 \cdot 2)}$

Step 2.3

Factor $- 1$ out of $- 1 (- 16) - (7 \cdot 2)$ .

$\frac{4 \cdot 7 - 2}{- 1 (- 16 + 7 \cdot 2)}$

Step 2.4

Reorder terms.

$\frac{4 \cdot 7 - 2}{- 1 (2 \cdot 7 - 16)}$

Step 2.5

Factor $2$ out of $4 \cdot 7$ .

$\frac{2 (2 \cdot 7) - 2}{- 1 (2 \cdot 7 - 16)}$

Step 2.6

Factor $2$ out of $- 2$ .

$\frac{2 (2 \cdot 7) + 2 \cdot - 1}{- 1 (2 \cdot 7 - 16)}$

Step 2.7

Factor $2$ out of $2 (2 \cdot 7) + 2 (- 1)$ .

$\frac{2 (2 \cdot 7 - 1)}{- 1 (2 \cdot 7 - 16)}$

Step 2.8

Cancel the common factors.

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Step 2.8.1

Factor $2$ out of $- 1 (2 \cdot 7 - 16)$ .

$\frac{2 (2 \cdot 7 - 1)}{2 (- 1 (7 - 8))}$

Step 2.8.2

Cancel the common factor.

$\frac{2 (2 \cdot 7 - 1)}{2 (- 1 (7 - 8))}$

Step 2.8.3

Rewrite the expression.

$\frac{2 \cdot 7 - 1}{- 1 (7 - 8)}$

$\frac{2 \cdot 7 - 1}{- 1 (7 - 8)}$

$\frac{2 \cdot 7 - 1}{- 1 (7 - 8)}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $2$ by $7$ .

$\frac{14 - 1}{- 1 (7 - 8)}$

Step 3.2

Subtract $1$ from $14$ .

$\frac{13}{- 1 (7 - 8)}$

$\frac{13}{- 1 (7 - 8)}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $8$ from $7$ .

$\frac{13}{- 1 \cdot - 1}$

Step 4.2

Multiply $- 1$ by $- 1$ .

$\frac{13}{1}$

Step 4.3

Divide $13$ by $1$ .

$13$

$13$

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