Basic Math Examples

$| - \frac{50}{10 - 9 \cdot 2} |$

Step 1

Cancel the common factor of $50$ and $10 - 9 \cdot 2$ .

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Step 1.1

Rewrite $10$ as $- 1 (- 10)$ .

$| - \frac{50}{- 1 (- 10) - 9 \cdot 2} |$

Step 1.2

Factor $- 1$ out of $- 9 \cdot 2$ .

$| - \frac{50}{- 1 (- 10) - (9 \cdot 2)} |$

Step 1.3

Factor $- 1$ out of $- 1 (- 10) - (9 \cdot 2)$ .

$| - \frac{50}{- 1 (- 10 + 9 \cdot 2)} |$

Step 1.4

Reorder terms.

$| - \frac{50}{- 1 (2 \cdot 9 - 10)} |$

Step 1.5

Factor $2$ out of $50$ .

$| - \frac{2 \cdot 25}{- 1 (2 \cdot 9 - 10)} |$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $2$ out of $- 1 (2 \cdot 9 - 10)$ .

$| - \frac{2 \cdot 25}{2 (- 1 (9 - 5))} |$

Step 1.6.2

Cancel the common factor.

$| - \frac{2 \cdot 25}{2 (- 1 (9 - 5))} |$

Step 1.6.3

Rewrite the expression.

$| - \frac{25}{- 1 (9 - 5)} |$

Step 2

Simplify the expression.

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Step 2.1

Subtract $5$ from $9$ .

$| - \frac{25}{- 1 \cdot 4} |$

Step 2.2

Multiply $- 1$ by $4$ .

$| - \frac{25}{- 4} |$

Step 2.3

Move the negative in front of the fraction.

$| - - \frac{25}{4} |$

Step 3

Multiply $- - \frac{25}{4}$ .

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Step 3.1

Multiply $- 1$ by $- 1$ .

$| 1 (\frac{25}{4}) |$

Step 3.2

Multiply $\frac{25}{4}$ by $1$ .

$| \frac{25}{4} |$

Step 4

$\frac{25}{4}$ is approximately $6.25$ which is positive so remove the absolute value

$\frac{25}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{4}$

Decimal Form:

$6.25$

Mixed Number Form:

$6 \frac{1}{4}$