Finite Math Examples

$\frac{5}{9} w = 5$

Step 1

Multiply both sides of the equation by $\frac{9}{5}$ .

$\frac{9}{5} (\frac{5}{9} w) = \frac{9}{5} \cdot 5$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{9}{5} (\frac{5}{9} w)$ .

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Step 2.1.1.1

Combine $\frac{5}{9}$ and $w$ .

$\frac{9}{5} \cdot \frac{5 w}{9} = \frac{9}{5} \cdot 5$

Step 2.1.1.2

Cancel the common factor of $9$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{9}{5} \cdot \frac{5 w}{9} = \frac{9}{5} \cdot 5$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{5} (5 w) = \frac{9}{5} \cdot 5$

Step 2.1.1.3

Cancel the common factor of $5$ .

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Step 2.1.1.3.1

Factor $5$ out of $5 w$ .

$\frac{1}{5} (5 (w)) = \frac{9}{5} \cdot 5$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{5} (5 w) = \frac{9}{5} \cdot 5$

Step 2.1.1.3.3

Rewrite the expression.

$w = \frac{9}{5} \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$w = \frac{9}{5} \cdot 5$

Step 2.2.1.2

Rewrite the expression.

$w = 9$