Basic Math Examples

$\frac{2 b}{7 a^{3}} \div \frac{b^{4}}{14 q^{4} b}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{2 b}{7 a^{3}} \cdot \frac{14 q^{4} b}{b^{4}}$

Step 2

Combine.

$\frac{2 b (14 q^{4} b)}{7 a^{3} b^{4}}$

Step 3

Multiply $b$ by $b$ by adding the exponents.

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Step 3.1

Move $b$ .

$\frac{2 (b \cdot b) (14 q^{4})}{7 a^{3} b^{4}}$

Step 3.2

Multiply $b$ by $b$ .

$\frac{2 b^{2} (14 q^{4})}{7 a^{3} b^{4}}$

Step 4

Cancel the common factor of $b^{2}$ and $b^{4}$ .

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Step 4.1

Factor $b^{2}$ out of $2 b^{2} (14 q^{4})$ .

$\frac{b^{2} (2 (14 q^{4}))}{7 a^{3} b^{4}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $b^{2}$ out of $7 a^{3} b^{4}$ .

$\frac{b^{2} (2 (14 q^{4}))}{b^{2} (7 a^{3} b^{2})}$

Step 4.2.2

Cancel the common factor.

$\frac{b^{2} (2 (14 q^{4}))}{b^{2} (7 a^{3} b^{2})}$

Step 4.2.3

Rewrite the expression.

$\frac{2 (14 q^{4})}{7 a^{3} b^{2}}$

Step 5

Cancel the common factor of $14$ and $7$ .

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Step 5.1

Factor $7$ out of $2 (14 q^{4})$ .

$\frac{7 (2 (2 q^{4}))}{7 a^{3} b^{2}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $7$ out of $7 a^{3} b^{2}$ .

$\frac{7 (2 (2 q^{4}))}{7 (a^{3} b^{2})}$

Step 5.2.2

Cancel the common factor.

$\frac{7 (2 (2 q^{4}))}{7 (a^{3} b^{2})}$

Step 5.2.3

Rewrite the expression.

$\frac{2 (2 q^{4})}{a^{3} b^{2}}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $2$ by $2$ .

$\frac{2^{2} q^{4}}{a^{3} b^{2}}$

Step 6.2

Raise $2$ to the power of $2$ .

$\frac{4 q^{4}}{a^{3} b^{2}}$