Solve for k 108=(k(18))/20

$108 = \frac{k (18)}{20}$

Rewrite the equation as $\frac{k (18)}{20} = 108$ .

$\frac{k (18)}{20} = 108$

Simplify $\frac{k (18)}{20}$ .

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Cancel the common factor of $18$ and $20$ .

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

$\frac{2 (k \cdot (9))}{20} = 108$

Cancel the common factors.

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Factor $2$ out of $20$ .

$\frac{2 (k \cdot (9))}{2 (10)} = 108$

Cancel the common factor.

$\frac{2 (k \cdot (9))}{2 \cdot 10} = 108$

Rewrite the expression.

$\frac{k \cdot (9)}{10} = 108$

Move $9$ to the left of $k$ .

$\frac{9 k}{10} = 108$

Multiply both sides of the equation by $\frac{10}{9}$ .

$\frac{10}{9} \cdot \frac{9 k}{10} = \frac{10}{9} \cdot 108$

Simplify both sides of the equation.

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Simplify $\frac{10}{9} \cdot \frac{9 k}{10}$ .

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Cancel the common factor of $10$ .

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Cancel the common factor.

$\frac{10}{9} \cdot \frac{9 k}{10} = \frac{10}{9} \cdot 108$

Rewrite the expression.

$\frac{1}{9} \cdot (9 k) = \frac{10}{9} \cdot 108$

Cancel the common factor of $9$ .

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Factor $9$ out of $9 k$ .

$\frac{1}{9} \cdot (9 (k)) = \frac{10}{9} \cdot 108$

Cancel the common factor.

$\frac{1}{9} \cdot (9 k) = \frac{10}{9} \cdot 108$

Rewrite the expression.

$k = \frac{10}{9} \cdot 108$

Simplify $\frac{10}{9} \cdot 108$ .

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Cancel the common factor of $9$ .

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Factor $9$ out of $108$ .

$k = \frac{10}{9} \cdot (9 (12))$

Cancel the common factor.

$k = \frac{10}{9} \cdot (9 \cdot 12)$

Rewrite the expression.

$k = 10 \cdot 12$

Multiply $10$ by $12$ .

$k = 120$

Solve for k 108=(k(18))/20

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