Pre-Algebra Examples

$\frac{{(- 3 n)}^{2}}{6 n}$

Step 1

Simplify the numerator.

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Step 1.1

Apply the product rule to $- 3 n$ .

$\frac{{(- 3)}^{2} n^{2}}{6 n}$

Step 1.2

Raise $- 3$ to the power of $2$ .

$\frac{9 n^{2}}{6 n}$

$\frac{9 n^{2}}{6 n}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $9$ and $6$ .

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Step 2.1.1

Factor $3$ out of $9 n^{2}$ .

$\frac{3 (3 n^{2})}{6 n}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $3$ out of $6 n$ .

$\frac{3 (3 n^{2})}{3 (2 n)}$

Step 2.1.2.2

Cancel the common factor.

$\frac{3 (3 n^{2})}{3 (2 n)}$

Step 2.1.2.3

Rewrite the expression.

$\frac{3 n^{2}}{2 n}$

$\frac{3 n^{2}}{2 n}$

$\frac{3 n^{2}}{2 n}$

Step 2.2

Cancel the common factor of $n^{2}$ and $n$ .

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Step 2.2.1

Factor $n$ out of $3 n^{2}$ .

$\frac{n (3 n)}{2 n}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $n$ out of $2 n$ .

$\frac{n (3 n)}{n \cdot 2}$

Step 2.2.2.2

Cancel the common factor.

$\frac{n (3 n)}{n \cdot 2}$

Step 2.2.2.3

Rewrite the expression.

$\frac{3 n}{2}$

$\frac{3 n}{2}$

$\frac{3 n}{2}$

$\frac{3 n}{2}$

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