Basic Math Examples

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

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 $8$ .

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Step 2.1

Factor $2$ out of $6 a^{2} b^{2}$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $8 c$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

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 $3$ .

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Step 5.1

Cancel the common factor.

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

Step 5.2

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 $a$ .

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Step 6.1

Factor $a$ out of $a^{2} b^{2} \cdot 1$ .

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

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $a$ out of $4 c (a b)$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

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 $b$ .

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Step 7.1

Factor $b$ out of $a b^{2} \cdot 1$ .

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

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $b$ out of $4 c (b)$ .

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

Step 7.2.2

Cancel the common factor.

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

Step 7.2.3

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 $1$ .

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

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