Basic Math Examples

$\frac{4 a^{6}}{25} \div \frac{8 a^{3}}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 a^{6}}{25} \cdot \frac{5}{8 a^{3}}$

Step 2

Combine.

$\frac{4 a^{6} \cdot 5}{25 (8 a^{3})}$

Step 3

Cancel the common factor of $4$ and $8$ .

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Step 3.1

Factor $4$ out of $4 a^{6} \cdot 5$ .

$\frac{4 (a^{6} \cdot 5)}{25 (8 a^{3})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $25 (8 a^{3})$ .

$\frac{4 (a^{6} \cdot 5)}{4 (25 (2 a^{3}))}$

Step 3.2.2

Cancel the common factor.

$\frac{4 (a^{6} \cdot 5)}{4 (25 (2 a^{3}))}$

Step 3.2.3

Rewrite the expression.

$\frac{a^{6} \cdot 5}{25 (2 a^{3})}$

Step 4

Cancel the common factor of $a^{6}$ and $a^{3}$ .

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Step 4.1

Factor $a^{3}$ out of $a^{6} \cdot 5$ .

$\frac{a^{3} (a^{3} \cdot 5)}{25 (2 a^{3})}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $a^{3}$ out of $25 (2 a^{3})$ .

$\frac{a^{3} (a^{3} \cdot 5)}{a^{3} (25 \cdot (2))}$

Step 4.2.2

Cancel the common factor.

$\frac{a^{3} (a^{3} \cdot 5)}{a^{3} (25 \cdot (2))}$

Step 4.2.3

Rewrite the expression.

$\frac{a^{3} \cdot 5}{25 \cdot (2)}$

Step 5

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

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Step 5.1

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

$\frac{5 \cdot a^{3}}{25 \cdot (2)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $5$ out of $25 \cdot (2)$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{a^{3}}{5 \cdot 2}$

Step 6

Multiply $5$ by $2$ .

$\frac{a^{3}}{10}$