Basic Math Examples

$\frac{(4) (- 2) + 3 (5 - (- 5))}{- 2 (12 - 2)}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $4$ by $- 2$ .

$\frac{- 8 + 3 (5 - (- 5))}{- 2 (12 - 2)}$

Step 1.2

Multiply $- 1$ by $- 5$ .

$\frac{- 8 + 3 (5 + 5)}{- 2 (12 - 2)}$

Step 1.3

Add $5$ and $5$ .

$\frac{- 8 + 3 \cdot 10}{- 2 (12 - 2)}$

Step 1.4

Multiply $3$ by $10$ .

$\frac{- 8 + 30}{- 2 (12 - 2)}$

Step 1.5

Add $- 8$ and $30$ .

$\frac{22}{- 2 (12 - 2)}$

$\frac{22}{- 2 (12 - 2)}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $2$ from $12$ .

$\frac{22}{- 2 \cdot 10}$

Step 2.2

Multiply $- 2$ by $10$ .

$\frac{22}{- 20}$

Step 2.3

Cancel the common factor of $22$ and $- 20$ .

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Step 2.3.1

Factor $2$ out of $22$ .

$\frac{2 (11)}{- 20}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $- 20$ .

$\frac{2 \cdot 11}{2 \cdot - 10}$

Step 2.3.2.2

Cancel the common factor.

$\frac{2 \cdot 11}{2 \cdot - 10}$

Step 2.3.2.3

Rewrite the expression.

$\frac{11}{- 10}$

$\frac{11}{- 10}$

$\frac{11}{- 10}$

Step 2.4

Move the negative in front of the fraction.

$- \frac{11}{10}$

$- \frac{11}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{10}$

Decimal Form:

$- 1.1$

Mixed Number Form:

$- 1 \frac{1}{10}$

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