Pre-Algebra Examples

$\frac{3 x^{3}}{4 y} \div \frac{x}{9 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3 x^{3}}{4 y} \cdot \frac{9 y}{x}$

Step 2

Combine.

$\frac{3 x^{3} (9 y)}{4 y x}$

Step 3

Cancel the common factor of $x^{3}$ and $x$ .

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Step 3.1

Factor $x$ out of $3 x^{3} (9 y)$ .

$\frac{x (3 x^{2} (9 y))}{4 y x}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x$ out of $4 y x$ .

$\frac{x (3 x^{2} (9 y))}{x (4 y)}$

Step 3.2.2

Cancel the common factor.

$\frac{x (3 x^{2} (9 y))}{x (4 y)}$

Step 3.2.3

Rewrite the expression.

$\frac{3 x^{2} (9 y)}{4 y}$

$\frac{3 x^{2} (9 y)}{4 y}$

$\frac{3 x^{2} (9 y)}{4 y}$

Step 4

Cancel the common factor of $y$ .

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Step 4.1

Cancel the common factor.

$\frac{3 x^{2} (9 y)}{4 y}$

Step 4.2

Rewrite the expression.

$\frac{3 x^{2} \cdot (9)}{4}$

$\frac{3 x^{2} \cdot (9)}{4}$

Step 5

Multiply $9$ by $3$ .

$\frac{27 x^{2}}{4}$

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