Algebra Examples

$\frac{x^{3}}{3} \div \frac{5 x^{2}}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{x^{3}}{3} \cdot \frac{7}{5 x^{2}}$

Step 2

Simplify terms.

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Step 2.1

Combine.

$\frac{x^{3} \cdot 7}{3 (5 x^{2})}$

Step 2.2

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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Step 2.2.1

Factor $x^{2}$ out of $x^{3} \cdot 7$ .

$\frac{x^{2} (x \cdot 7)}{3 (5 x^{2})}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $x^{2}$ out of $3 (5 x^{2})$ .

$\frac{x^{2} (x \cdot 7)}{x^{2} (3 \cdot (5))}$

Step 2.2.2.2

Cancel the common factor.

$\frac{x^{2} (x \cdot 7)}{x^{2} (3 \cdot (5))}$

Step 2.2.2.3

Rewrite the expression.

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

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

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

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

Step 3

Multiply $3$ by $5$ .

$\frac{x \cdot 7}{15}$

Step 4

Move $7$ to the left of $x$ .

$\frac{7 x}{15}$

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