Algebra Examples

$\frac{5}{3 x^{3}} \div \frac{7}{9 x^{3}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{3 x^{3}} \cdot \frac{9 x^{3}}{7}$

Step 2

Simplify terms.

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Step 2.1

Combine.

$\frac{5 (9 x^{3})}{3 x^{3} \cdot 7}$

Step 2.2

Cancel the common factor of $9$ and $3$ .

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Step 2.2.1

Factor $3$ out of $5 (9 x^{3})$ .

$\frac{3 (5 (3 x^{3}))}{3 x^{3} \cdot 7}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $3$ out of $3 x^{3} \cdot 7$ .

$\frac{3 (5 (3 x^{3}))}{3 (x^{3} \cdot 7)}$

Step 2.2.2.2

Cancel the common factor.

$\frac{3 (5 (3 x^{3}))}{3 (x^{3} \cdot 7)}$

Step 2.2.2.3

Rewrite the expression.

$\frac{5 (3 x^{3})}{x^{3} \cdot 7}$

$\frac{5 (3 x^{3})}{x^{3} \cdot 7}$

$\frac{5 (3 x^{3})}{x^{3} \cdot 7}$

Step 2.3

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

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Step 2.3.1

Cancel the common factor.

$\frac{5 (3 x^{3})}{x^{3} \cdot 7}$

Step 2.3.2

Rewrite the expression.

$\frac{5 \cdot (3)}{7}$

$\frac{5 \cdot (3)}{7}$

$\frac{5 \cdot (3)}{7}$

Step 3

Multiply $5$ by $3$ .

$\frac{15}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{7}$

Decimal Form:

$2.\overline{142857}$

Mixed Number Form:

$2 \frac{1}{7}$

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