Basic Math Examples

$(6 + 2 - 9 + 15) \div (7 - 12 + 3 - 6)$

Step 1

Rewrite the division as a fraction.

$\frac{6 + 2 - 9 + 15}{7 - 12 + 3 - 6}$

Step 2

Simplify the numerator.

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Step 2.1

Add $6$ and $2$ .

$\frac{8 - 9 + 15}{7 - 12 + 3 - 6}$

Step 2.2

Subtract $9$ from $8$ .

$\frac{- 1 + 15}{7 - 12 + 3 - 6}$

Step 2.3

Add $- 1$ and $15$ .

$\frac{14}{7 - 12 + 3 - 6}$

$\frac{14}{7 - 12 + 3 - 6}$

Step 3

Simplify the denominator.

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Step 3.1

Subtract $12$ from $7$ .

$\frac{14}{- 5 + 3 - 6}$

Step 3.2

Add $- 5$ and $3$ .

$\frac{14}{- 2 - 6}$

Step 3.3

Subtract $6$ from $- 2$ .

$\frac{14}{- 8}$

$\frac{14}{- 8}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Cancel the common factor of $14$ and $- 8$ .

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Step 4.1.1

Factor $2$ out of $14$ .

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

Step 4.1.2

Cancel the common factors.

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Step 4.1.2.1

Factor $2$ out of $- 8$ .

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

Step 4.1.2.2

Cancel the common factor.

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

Step 4.1.2.3

Rewrite the expression.

$\frac{7}{- 4}$

$\frac{7}{- 4}$

$\frac{7}{- 4}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{7}{4}$

$- \frac{7}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{4}$

Decimal Form:

$- 1.75$

Mixed Number Form:

$- 1 \frac{3}{4}$

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