Pre-Algebra Examples

$\frac{6 a b}{25 c} \div 8 a^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{6 a b}{25 c}}{8 a^{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{6 a b}{25 c} \cdot \frac{1}{8 a^{2}}$

Step 3

Combine.

$\frac{6 a b \cdot 1}{25 c (8 a^{2})}$

Step 4

Cancel the common factor of $6$ and $8$ .

Tap for more steps...

Step 4.1

Factor $2$ out of $6 a b \cdot 1$ .

$\frac{2 (3 a b \cdot 1)}{25 c (8 a^{2})}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $2$ out of $25 c (8 a^{2})$ .

$\frac{2 (3 a b \cdot 1)}{2 (25 c (4 a^{2}))}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (3 a b \cdot 1)}{2 (25 c (4 a^{2}))}$

Step 4.2.3

Rewrite the expression.

$\frac{3 a b \cdot 1}{25 c (4 a^{2})}$

$\frac{3 a b \cdot 1}{25 c (4 a^{2})}$

$\frac{3 a b \cdot 1}{25 c (4 a^{2})}$

Step 5

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

Tap for more steps...

Step 5.1

Factor $a$ out of $3 a b \cdot 1$ .

$\frac{a (3 b \cdot 1)}{25 c (4 a^{2})}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor $a$ out of $25 c (4 a^{2})$ .

$\frac{a (3 b \cdot 1)}{a (25 c (4 a))}$

Step 5.2.2

Cancel the common factor.

$\frac{a (3 b \cdot 1)}{a (25 c (4 a))}$

Step 5.2.3

Rewrite the expression.

$\frac{3 b \cdot 1}{25 c (4 a)}$

$\frac{3 b \cdot 1}{25 c (4 a)}$

$\frac{3 b \cdot 1}{25 c (4 a)}$

Step 6

Multiply $3$ by $1$ .

$\frac{3 b}{25 c \cdot 4 a}$

Step 7

Multiply $4$ by $25$ .

$\frac{3 b}{100 c a}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$