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Simplify ((6a^2b^2)/(8c))÷3ab

$\frac{6 a^{2} b^{2}}{8 c} \div 3 a b$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{6 a^{2} b^{2}}{8 c}}{3 a b}$

Step 2

Cancel the common factor of

$6$ and

$8$ .

Factor

$2$ out of

$6 a^{2} b^{2}$ .

$\frac{\frac{2 (3 a^{2} b^{2})}{8 c}}{3 a b}$

Cancel the common factors.

Factor

$2$ out of

$8 c$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{3 a^{2} b^{2}}{4 c} \cdot \frac{1}{3 a b}$

Step 4

Combine.

$\frac{3 a^{2} b^{2} \cdot 1}{4 c (3 a b)}$

Step 5

Cancel the common factor of

$3$ .

Cancel the common factor.

$\frac{3 a^{2} b^{2} \cdot 1}{4 c (3 a b)}$

Rewrite the expression.

$\frac{a^{2} b^{2} \cdot 1}{4 c (a b)}$

$\frac{a^{2} b^{2} \cdot 1}{4 c (a b)}$

Step 6

Cancel the common factor of

$a^{2}$ and

$a$ .

Factor

$a$ out of

$a^{2} b^{2} \cdot 1$ .

$\frac{a (a b^{2} \cdot 1)}{4 c (a b)}$

Cancel the common factors.

Factor

$a$ out of

$4 c (a b)$ .

$\frac{a (a b^{2} \cdot 1)}{a (4 c (b))}$

Cancel the common factor.

$\frac{a (a b^{2} \cdot 1)}{a (4 c (b))}$

Rewrite the expression.

$\frac{a b^{2} \cdot 1}{4 c (b)}$

$\frac{a b^{2} \cdot 1}{4 c (b)}$

$\frac{a b^{2} \cdot 1}{4 c (b)}$

Step 7

Cancel the common factor of

$b^{2}$ and

$b$ .

Factor

$b$ out of

$a b^{2} \cdot 1$ .

$\frac{b (a b \cdot 1)}{4 c (b)}$

Cancel the common factors.

Factor

$b$ out of

$4 c (b)$ .

$\frac{b (a b \cdot 1)}{b (4 c)}$

Cancel the common factor.

$\frac{b (a b \cdot 1)}{b (4 c)}$

Rewrite the expression.

$\frac{a b \cdot 1}{4 c}$

$\frac{a b \cdot 1}{4 c}$

$\frac{a b \cdot 1}{4 c}$

Step 8

Multiply

$a$ by

$1$ .

$\frac{a b}{4 c}$

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