Basic Math Examples

$\frac{18}{16} \cdot \frac{7 k}{6 k^{3}}$

Step 1

Simplify terms.

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Step 1.1

Combine.

$\frac{18 (7 k)}{16 (6 k^{3})}$

Step 1.2

Cancel the common factor of $18$ and $16$ .

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Step 1.2.1

Factor $2$ out of $18 (7 k)$ .

$\frac{2 (9 (7 k))}{16 (6 k^{3})}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $16 (6 k^{3})$ .

$\frac{2 (9 (7 k))}{2 (8 (6 k^{3}))}$

Step 1.2.2.2

Cancel the common factor.

$\frac{2 (9 (7 k))}{2 (8 (6 k^{3}))}$

Step 1.2.2.3

Rewrite the expression.

$\frac{9 (7 k)}{8 (6 k^{3})}$

$\frac{9 (7 k)}{8 (6 k^{3})}$

$\frac{9 (7 k)}{8 (6 k^{3})}$

Step 1.3

Cancel the common factor of $9$ and $6$ .

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Step 1.3.1

Factor $3$ out of $9 (7 k)$ .

$\frac{3 (3 (7 k))}{8 (6 k^{3})}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $3$ out of $8 (6 k^{3})$ .

$\frac{3 (3 (7 k))}{3 (8 (2 k^{3}))}$

Step 1.3.2.2

Cancel the common factor.

$\frac{3 (3 (7 k))}{3 (8 (2 k^{3}))}$

Step 1.3.2.3

Rewrite the expression.

$\frac{3 (7 k)}{8 (2 k^{3})}$

$\frac{3 (7 k)}{8 (2 k^{3})}$

$\frac{3 (7 k)}{8 (2 k^{3})}$

Step 1.4

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

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Step 1.4.1

Factor $k$ out of $3 (7 k)$ .

$\frac{k (3 \cdot (7))}{8 (2 k^{3})}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $k$ out of $8 (2 k^{3})$ .

$\frac{k (3 \cdot (7))}{k (8 (2 k^{2}))}$

Step 1.4.2.2

Cancel the common factor.

$\frac{k (3 \cdot (7))}{k (8 (2 k^{2}))}$

Step 1.4.2.3

Rewrite the expression.

$\frac{3 \cdot (7)}{8 (2 k^{2})}$

$\frac{3 \cdot (7)}{8 (2 k^{2})}$

$\frac{3 \cdot (7)}{8 (2 k^{2})}$

$\frac{3 \cdot (7)}{8 (2 k^{2})}$

Step 2

Multiply $3$ by $7$ .

$\frac{21}{8 \cdot 2 k^{2}}$

Step 3

Multiply $8$ by $2$ .

$\frac{21}{16 k^{2}}$

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