Basic Math Examples

$\frac{20 a}{2 b} \cdot \frac{3 b^{2}}{40 a^{3}}$

Step 1

Combine.

$\frac{20 a (3 b^{2})}{2 b (40 a^{3})}$

Step 2

Cancel the common factor of $20$ and $2$ .

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Step 2.1

Factor $2$ out of $20 a (3 b^{2})$ .

$\frac{2 (10 a (3 b^{2}))}{2 b (40 a^{3})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2 b (40 a^{3})$ .

$\frac{2 (10 a (3 b^{2}))}{2 (b (40 a^{3}))}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (10 a (3 b^{2}))}{2 (b (40 a^{3}))}$

Step 2.2.3

Rewrite the expression.

$\frac{10 a (3 b^{2})}{b (40 a^{3})}$

$\frac{10 a (3 b^{2})}{b (40 a^{3})}$

$\frac{10 a (3 b^{2})}{b (40 a^{3})}$

Step 3

Cancel the common factor of $10$ and $40$ .

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Step 3.1

Factor $10$ out of $10 a (3 b^{2})$ .

$\frac{10 (a (3 b^{2}))}{b (40 a^{3})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $10$ out of $b (40 a^{3})$ .

$\frac{10 (a (3 b^{2}))}{10 (b (4 a^{3}))}$

Step 3.2.2

Cancel the common factor.

$\frac{10 (a (3 b^{2}))}{10 (b (4 a^{3}))}$

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

Cancel the common factors.

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Step 4.1

Factor $a$ out of $b (4 a^{3})$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

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

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

Step 5

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

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Step 5.1

Factor $b$ out of $3 b^{2}$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Cancel the common factor.

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

Step 5.2.2

Rewrite the expression.

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

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

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

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