Basic Math Examples

$\frac{5 k}{6} \cdot \frac{3}{2 k^{3}}$

Step 1

Combine.

$\frac{5 k \cdot 3}{6 (2 k^{3})}$

Step 2

Cancel the common factor of $k$ and $k^{3}$ .

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Step 2.1

Factor $k$ out of $5 k \cdot 3$ .

$\frac{k (5 \cdot 3)}{6 (2 k^{3})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $k$ out of $6 (2 k^{3})$ .

$\frac{k (5 \cdot 3)}{k (6 (2 k^{2}))}$

Step 2.2.2

Cancel the common factor.

$\frac{k (5 \cdot 3)}{k (6 (2 k^{2}))}$

Step 2.2.3

Rewrite the expression.

$\frac{5 \cdot 3}{6 (2 k^{2})}$

$\frac{5 \cdot 3}{6 (2 k^{2})}$

$\frac{5 \cdot 3}{6 (2 k^{2})}$

Step 3

Cancel the common factor of $3$ and $6$ .

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Step 3.1

Factor $3$ out of $5 \cdot 3$ .

$\frac{3 \cdot 5}{6 (2 k^{2})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $6 (2 k^{2})$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{5}{2 (2 k^{2})}$

$\frac{5}{2 (2 k^{2})}$

$\frac{5}{2 (2 k^{2})}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $2$ by $2$ .

$\frac{5}{2^{2} k^{2}}$

Step 4.2

Raise $2$ to the power of $2$ .

$\frac{5}{4 k^{2}}$

$\frac{5}{4 k^{2}}$

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