Pre-Algebra Examples

$\frac{f}{b^{2}} \div \frac{f^{2}}{b^{3}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{f}{b^{2}} \cdot \frac{b^{3}}{f^{2}}$

Step 2

Combine.

$\frac{f b^{3}}{b^{2} f^{2}}$

Step 3

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

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Step 3.1

Factor $f$ out of $f b^{3}$ .

$\frac{f (b^{3})}{b^{2} f^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $f$ out of $b^{2} f^{2}$ .

$\frac{f (b^{3})}{f (b^{2} f)}$

Step 3.2.2

Cancel the common factor.

$\frac{f b^{3}}{f (b^{2} f)}$

Step 3.2.3

Rewrite the expression.

$\frac{b^{3}}{b^{2} f}$

$\frac{b^{3}}{b^{2} f}$

$\frac{b^{3}}{b^{2} f}$

Step 4

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

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Step 4.1

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

$\frac{b^{2} b}{b^{2} f}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $b^{2}$ out of $b^{2} f$ .

$\frac{b^{2} b}{b^{2} (f)}$

Step 4.2.2

Cancel the common factor.

$\frac{b^{2} b}{b^{2} f}$

Step 4.2.3

Rewrite the expression.

$\frac{b}{f}$

$\frac{b}{f}$

$\frac{b}{f}$

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