Algebra Examples

$\frac{25}{14 y^{3}} \div \frac{5}{28 y^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{25}{14 y^{3}} \cdot \frac{28 y^{2}}{5}$

Step 2

Simplify terms.

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Step 2.1

Combine.

$\frac{25 (28 y^{2})}{14 y^{3} \cdot 5}$

Step 2.2

Cancel the common factor of $25$ and $5$ .

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Step 2.2.1

Factor $5$ out of $25 (28 y^{2})$ .

$\frac{5 (5 (28 y^{2}))}{14 y^{3} \cdot 5}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $5$ out of $14 y^{3} \cdot 5$ .

$\frac{5 (5 (28 y^{2}))}{5 \cdot (14 y^{3})}$

Step 2.2.2.2

Cancel the common factor.

$\frac{5 (5 (28 y^{2}))}{5 \cdot (14 y^{3})}$

Step 2.2.2.3

Rewrite the expression.

$\frac{5 (28 y^{2})}{14 y^{3}}$

$\frac{5 (28 y^{2})}{14 y^{3}}$

$\frac{5 (28 y^{2})}{14 y^{3}}$

Step 2.3

Cancel the common factor of $28$ and $14$ .

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Step 2.3.1

Factor $14$ out of $5 (28 y^{2})$ .

$\frac{14 (5 (2 y^{2}))}{14 y^{3}}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $14$ out of $14 y^{3}$ .

$\frac{14 (5 (2 y^{2}))}{14 (y^{3})}$

Step 2.3.2.2

Cancel the common factor.

$\frac{14 (5 (2 y^{2}))}{14 y^{3}}$

Step 2.3.2.3

Rewrite the expression.

$\frac{5 (2 y^{2})}{y^{3}}$

$\frac{5 (2 y^{2})}{y^{3}}$

$\frac{5 (2 y^{2})}{y^{3}}$

Step 2.4

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

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Step 2.4.1

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

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

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

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

$\frac{y^{2} (5 \cdot (2))}{y^{2} y}$

Step 2.4.2.2

Cancel the common factor.

$\frac{y^{2} (5 \cdot (2))}{y^{2} y}$

Step 2.4.2.3

Rewrite the expression.

$\frac{5 \cdot (2)}{y}$

$\frac{5 \cdot (2)}{y}$

$\frac{5 \cdot (2)}{y}$

$\frac{5 \cdot (2)}{y}$

Step 3

Multiply $5$ by $2$ .

$\frac{10}{y}$

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