Solve for w 12=5/2w

$12 = \frac{5}{2} w$

Rewrite the equation as $\frac{5}{2} w = 12$ .

$\frac{5}{2} w = 12$

Multiply both sides of the equation by $\frac{2}{5}$ .

$\frac{2}{5} (\frac{5}{2} w) = \frac{2}{5} \cdot 12$

Simplify both sides of the equation.

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Simplify the left side.

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Simplify $\frac{2}{5} (\frac{5}{2} w)$ .

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Combine $\frac{5}{2}$ and $w$ .

$\frac{2}{5} \cdot \frac{5 w}{2} = \frac{2}{5} \cdot 12$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2}{5} \cdot \frac{5 w}{2} = \frac{2}{5} \cdot 12$

Rewrite the expression.

$\frac{1}{5} (5 w) = \frac{2}{5} \cdot 12$

Cancel the common factor of $5$ .

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Factor $5$ out of $5 w$ .

$\frac{1}{5} (5 (w)) = \frac{2}{5} \cdot 12$

Cancel the common factor.

$\frac{1}{5} (5 w) = \frac{2}{5} \cdot 12$

Rewrite the expression.

$w = \frac{2}{5} \cdot 12$

Simplify the right side.

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Multiply $\frac{2}{5} \cdot 12$ .

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Combine $\frac{2}{5}$ and $12$ .

$w = \frac{2 \cdot 12}{5}$

Multiply $2$ by $12$ .

$w = \frac{24}{5}$

The result can be shown in multiple forms.

Exact Form:

$w = \frac{24}{5}$

Decimal Form:

$w = 4.8$

Mixed Number Form:

$w = 4 \frac{4}{5}$