Basic Math Examples

$\frac{a^{15}}{b^{15}} \div \frac{a^{20}}{b^{15}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{a^{15}}{b^{15}} \cdot \frac{b^{15}}{a^{20}}$

Step 2

Combine.

$\frac{a^{15} b^{15}}{b^{15} a^{20}}$

Step 3

Cancel the common factor of $a^{15}$ and $a^{20}$ .

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Step 3.1

Factor $a^{15}$ out of $a^{15} b^{15}$ .

$\frac{a^{15} (b^{15})}{b^{15} a^{20}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $a^{15}$ out of $b^{15} a^{20}$ .

$\frac{a^{15} (b^{15})}{a^{15} (b^{15} a^{5})}$

Step 3.2.2

Cancel the common factor.

$\frac{a^{15} b^{15}}{a^{15} (b^{15} a^{5})}$

Step 3.2.3

Rewrite the expression.

$\frac{b^{15}}{b^{15} a^{5}}$

Step 4

Cancel the common factor of $b^{15}$ .

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Step 4.1

Cancel the common factor.

$\frac{b^{15}}{b^{15} a^{5}}$

Step 4.2

Rewrite the expression.

$\frac{1}{a^{5}}$