Basic Math Examples

$\frac{4 x^{2}}{15} \cdot \frac{5}{8 x^{5}}$

Step 1

Combine.

$\frac{4 x^{2} \cdot 5}{15 (8 x^{5})}$

Step 2

Cancel the common factor of $4$ and $8$ .

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Step 2.1

Factor $4$ out of $4 x^{2} \cdot 5$ .

$\frac{4 (x^{2} \cdot 5)}{15 (8 x^{5})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $15 (8 x^{5})$ .

$\frac{4 (x^{2} \cdot 5)}{4 (15 (2 x^{5}))}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (x^{2} \cdot 5)}{4 (15 (2 x^{5}))}$

Step 2.2.3

Rewrite the expression.

$\frac{x^{2} \cdot 5}{15 (2 x^{5})}$

$\frac{x^{2} \cdot 5}{15 (2 x^{5})}$

$\frac{x^{2} \cdot 5}{15 (2 x^{5})}$

Step 3

Cancel the common factor of $x^{2}$ and $x^{5}$ .

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Step 3.1

Factor $x^{2}$ out of $x^{2} \cdot 5$ .

$\frac{x^{2} (5)}{15 (2 x^{5})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x^{2}$ out of $15 (2 x^{5})$ .

$\frac{x^{2} (5)}{x^{2} (15 (2 x^{3}))}$

Step 3.2.2

Cancel the common factor.

$\frac{x^{2} \cdot 5}{x^{2} (15 (2 x^{3}))}$

Step 3.2.3

Rewrite the expression.

$\frac{5}{15 (2 x^{3})}$

$\frac{5}{15 (2 x^{3})}$

$\frac{5}{15 (2 x^{3})}$

Step 4

Cancel the common factor of $5$ and $15$ .

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Step 4.1

Factor $5$ out of $5$ .

$\frac{5 (1)}{15 (2 x^{3})}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $5$ out of $15 (2 x^{3})$ .

$\frac{5 (1)}{5 (3 (2 x^{3}))}$

Step 4.2.2

Cancel the common factor.

$\frac{5 \cdot 1}{5 (3 (2 x^{3}))}$

Step 4.2.3

Rewrite the expression.

$\frac{1}{3 (2 x^{3})}$

$\frac{1}{3 (2 x^{3})}$

$\frac{1}{3 (2 x^{3})}$

Step 5

Multiply $3$ by $2$ .

$\frac{1}{6 x^{3}}$

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