Solve for f f/45-2/9=2/9

$\frac{f}{45} - \frac{2}{9} = \frac{2}{9}$

Move all terms not containing $f$ to the right side of the equation.

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Add $\frac{2}{9}$ to both sides of the equation.

$\frac{f}{45} = \frac{2}{9} + \frac{2}{9}$

Combine the numerators over the common denominator.

$\frac{f}{45} = \frac{2 + 2}{9}$

Add $2$ and $2$ .

$\frac{f}{45} = \frac{4}{9}$

Multiply both sides of the equation by $45$ .

$45 \cdot \frac{f}{45} = 45 \cdot \frac{4}{9}$

Simplify both sides of the equation.

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Cancel the common factor of $45$ .

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Cancel the common factor.

$45 \cdot \frac{f}{45} = 45 \cdot \frac{4}{9}$

Rewrite the expression.

$f = 45 \cdot \frac{4}{9}$

Simplify $45 \cdot \frac{4}{9}$ .

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Cancel the common factor of $9$ .

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Factor $9$ out of $45$ .

$f = 9 (5) \cdot \frac{4}{9}$

Cancel the common factor.

$f = 9 \cdot 5 \cdot \frac{4}{9}$

Rewrite the expression.

$f = 5 \cdot 4$

Multiply $5$ by $4$ .

$f = 20$

Solve for f f/45-2/9=2/9

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