Basic Math Examples

$\frac{2 (12 + 3)}{10 (12 - 30)}$

Step 1

Cancel the common factors.

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Step 1.1

Factor $2$ out of $10 (12 - 30)$ .

$\frac{2 (12 + 3)}{2 (5 (12 - 30))}$

Step 1.2

Cancel the common factor.

$\frac{2 (12 + 3)}{2 (5 (12 - 30))}$

Step 1.3

Rewrite the expression.

$\frac{12 + 3}{5 (12 - 30)}$

$\frac{12 + 3}{5 (12 - 30)}$

Step 2

Cancel the common factor of $12 + 3$ and $12 - 30$ .

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Step 2.1

Factor $3$ out of $12$ .

$\frac{3 \cdot 4 + 3}{5 (12 - 30)}$

Step 2.2

Factor $3$ out of $3$ .

$\frac{3 \cdot 4 + 3 (1)}{5 (12 - 30)}$

Step 2.3

Factor $3$ out of $3 \cdot 4 + 3 (1)$ .

$\frac{3 \cdot (4 + 1)}{5 (12 - 30)}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $3$ out of $5 (12 - 30)$ .

$\frac{3 \cdot (4 + 1)}{3 (5 (4 - 10))}$

Step 2.4.2

Cancel the common factor.

$\frac{3 \cdot (4 + 1)}{3 (5 (4 - 10))}$

Step 2.4.3

Rewrite the expression.

$\frac{4 + 1}{5 (4 - 10)}$

$\frac{4 + 1}{5 (4 - 10)}$

$\frac{4 + 1}{5 (4 - 10)}$

Step 3

Simplify the expression.

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Step 3.1

Add $4$ and $1$ .

$\frac{5}{5 (4 - 10)}$

Step 3.2

Subtract $10$ from $4$ .

$\frac{5}{5 \cdot - 6}$

Step 3.3

Multiply $5$ by $- 6$ .

$\frac{5}{- 30}$

$\frac{5}{- 30}$

Step 4

Cancel the common factor of $5$ and $- 30$ .

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Step 4.1

Factor $5$ out of $5$ .

$\frac{5 (1)}{- 30}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $5$ out of $- 30$ .

$\frac{5 \cdot 1}{5 \cdot - 6}$

Step 4.2.2

Cancel the common factor.

$\frac{5 \cdot 1}{5 \cdot - 6}$

Step 4.2.3

Rewrite the expression.

$\frac{1}{- 6}$

$\frac{1}{- 6}$

$\frac{1}{- 6}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{6}$

Decimal Form:

$- 0.1\overline{6}$

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