Algebra Examples

$27 a^{3} \div \frac{18 a^{4}}{7 b^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$27 a^{3} \frac{7 b^{2}}{18 a^{4}}$

Step 2

Cancel the common factor of $9 a^{3}$ .

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Step 2.1

Factor $9 a^{3}$ out of $27 a^{3}$ .

$9 a^{3} (3) \frac{7 b^{2}}{18 a^{4}}$

Step 2.2

Factor $9 a^{3}$ out of $18 a^{4}$ .

$9 a^{3} (3) \frac{7 b^{2}}{9 a^{3} (2 a)}$

Step 2.3

Cancel the common factor.

$9 a^{3} \cdot 3 \frac{7 b^{2}}{9 a^{3} (2 a)}$

Step 2.4

Rewrite the expression.

$3 \frac{7 b^{2}}{2 a}$

Step 3

Combine $3$ and $\frac{7 b^{2}}{2 a}$ .

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

Step 4

Multiply $7$ by $3$ .

$\frac{21 b^{2}}{2 a}$