Pre-Algebra Examples

$\frac{4 t^{2}}{9 x} \div \frac{t}{45 x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 t^{2}}{9 x} \cdot \frac{45 x}{t}$

Step 2

Combine.

$\frac{4 t^{2} (45 x)}{9 x t}$

Step 3

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

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Step 3.1

Factor $t$ out of $4 t^{2} (45 x)$ .

$\frac{t (4 t (45 x))}{9 x t}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $t$ out of $9 x t$ .

$\frac{t (4 t (45 x))}{t (9 x)}$

Step 3.2.2

Cancel the common factor.

$\frac{t (4 t (45 x))}{t (9 x)}$

Step 3.2.3

Rewrite the expression.

$\frac{4 t (45 x)}{9 x}$

$\frac{4 t (45 x)}{9 x}$

$\frac{4 t (45 x)}{9 x}$

Step 4

Cancel the common factor of $45$ and $9$ .

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Step 4.1

Factor $9$ out of $4 t (45 x)$ .

$\frac{9 (4 t (5 x))}{9 x}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $9$ out of $9 x$ .

$\frac{9 (4 t (5 x))}{9 (x)}$

Step 4.2.2

Cancel the common factor.

$\frac{9 (4 t (5 x))}{9 x}$

Step 4.2.3

Rewrite the expression.

$\frac{4 t (5 x)}{x}$

$\frac{4 t (5 x)}{x}$

$\frac{4 t (5 x)}{x}$

Step 5

Cancel the common factor of $x$ .

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Step 5.1

Cancel the common factor.

$\frac{4 t (5 x)}{x}$

Step 5.2

Divide $4 t \cdot (5)$ by $1$ .

$4 t \cdot (5)$

$4 t \cdot (5)$

Step 6

Multiply $5$ by $4$ .

$20 t$

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