Basic Math Examples

$\frac{4^{2} - 8 | 7 - 9 |}{4 (4 - 7) - 30 \div 6}$

Step 1

Cancel the common factor of $30$ and $6$ .

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Step 1.1

Factor $6$ out of $30$ .

$\frac{4^{2} - 8 | 7 - 9 |}{4 (4 - 7) - 6 \cdot 5 \div 6}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $6$ out of $6$ .

$\frac{4^{2} - 8 | 7 - 9 |}{4 (4 - 7) - 6 \cdot 5 \div 6 (1)}$

Step 1.2.2

Cancel the common factor.

$\frac{4^{2} - 8 | 7 - 9 |}{4 (4 - 7) - 6 \cdot 5 \div 6 \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{4^{2} - 8 | 7 - 9 |}{4 (4 - 7) - \frac{5}{1}}$

Step 1.2.4

Divide $5$ by $1$ .

$\frac{4^{2} - 8 | 7 - 9 |}{4 (4 - 7) - 1 \cdot 5}$

Step 2

Simplify the numerator.

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Step 2.1

Raise $4$ to the power of $2$ .

$\frac{16 - 8 | 7 - 9 |}{4 (4 - 7) - 1 \cdot 5}$

Step 2.2

Subtract $9$ from $7$ .

$\frac{16 - 8 | - 2 |}{4 (4 - 7) - 1 \cdot 5}$

Step 2.3

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$\frac{16 - 8 \cdot 2}{4 (4 - 7) - 1 \cdot 5}$

Step 2.4

Multiply $- 8$ by $2$ .

$\frac{16 - 16}{4 (4 - 7) - 1 \cdot 5}$

Step 2.5

Subtract $16$ from $16$ .

$\frac{0}{4 (4 - 7) - 1 \cdot 5}$

Step 3

Simplify the denominator.

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Step 3.1

Subtract $7$ from $4$ .

$\frac{0}{4 \cdot - 3 - 1 \cdot 5}$

Step 3.2

Multiply $4$ by $- 3$ .

$\frac{0}{- 12 - 1 \cdot 5}$

Step 3.3

Multiply $- 1$ by $5$ .

$\frac{0}{- 12 - 5}$

Step 3.4

Subtract $5$ from $- 12$ .

$\frac{0}{- 17}$

Step 4

Divide $0$ by $- 17$ .

$0$