Pre-Algebra Examples

$\frac{\frac{12 a}{b^{2}}}{\frac{b^{3}}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{12 a}{b^{2}} \cdot \frac{3}{b^{3}}$

Step 2

Combine.

$\frac{12 a \cdot 3}{b^{2} b^{3}}$

Step 3

Multiply $b^{2}$ by $b^{3}$ by adding the exponents.

Tap for more steps...

Step 3.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{12 a \cdot 3}{b^{2 + 3}}$

Step 3.2

Add $2$ and $3$ .

$\frac{12 a \cdot 3}{b^{5}}$

Step 4

Multiply $3$ by $12$ .

$\frac{36 a}{b^{5}}$