Basic Math Examples

$\frac{(3 + 15) (18 - 17 - 12 (8 - 10))}{{(12 - 6)}^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Add $3$ and $15$ .

$\frac{18 (18 - 17 - 12 (8 - 10))}{{(12 - 6)}^{2}}$

Step 1.2

Subtract $10$ from $8$ .

$\frac{18 (18 - 17 - 12 \cdot - 2)}{{(12 - 6)}^{2}}$

Step 1.3

Multiply $- 12$ by $- 2$ .

$\frac{18 (18 - 17 + 24)}{{(12 - 6)}^{2}}$

Step 1.4

Subtract $17$ from $18$ .

$\frac{18 (1 + 24)}{{(12 - 6)}^{2}}$

Step 1.5

Add $1$ and $24$ .

$\frac{18 \cdot 25}{{(12 - 6)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $6$ from $12$ .

$\frac{18 \cdot 25}{6^{2}}$

Step 2.2

Raise $6$ to the power of $2$ .

$\frac{18 \cdot 25}{36}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $18$ by $25$ .

$\frac{450}{36}$

Step 3.2

Cancel the common factor of $450$ and $36$ .

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Step 3.2.1

Factor $18$ out of $450$ .

$\frac{18 (25)}{36}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $18$ out of $36$ .

$\frac{18 \cdot 25}{18 \cdot 2}$

Step 3.2.2.2

Cancel the common factor.

$\frac{18 \cdot 25}{18 \cdot 2}$

Step 3.2.2.3

Rewrite the expression.

$\frac{25}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{2}$

Decimal Form:

$12.5$

Mixed Number Form:

$12 \frac{1}{2}$