Solve for f -4/9f=-3

$- \frac{4}{9} f = - 3$

Step 1

Multiply both sides of the equation by $- \frac{9}{4}$ .

$- \frac{9}{4} (- \frac{4}{9} f) = - \frac{9}{4} \cdot - 3$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{9}{4} (- \frac{4}{9} f)$ .

Combine $f$ and $\frac{4}{9}$ .

$- \frac{9}{4} (- \frac{f \cdot 4}{9}) = - \frac{9}{4} \cdot - 3$

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{9}{4}$ into the numerator.

$\frac{- 9}{4} (- \frac{f \cdot 4}{9}) = - \frac{9}{4} \cdot - 3$

Move the leading negative in $- \frac{f \cdot 4}{9}$ into the numerator.

$\frac{- 9}{4} \cdot \frac{- f \cdot 4}{9} = - \frac{9}{4} \cdot - 3$

Factor $9$ out of $- 9$ .

$\frac{9 (- 1)}{4} \cdot \frac{- f \cdot 4}{9} = - \frac{9}{4} \cdot - 3$

Cancel the common factor.

$\frac{9 \cdot - 1}{4} \cdot \frac{- f \cdot 4}{9} = - \frac{9}{4} \cdot - 3$

Rewrite the expression.

$\frac{- 1}{4} (- f \cdot 4) = - \frac{9}{4} \cdot - 3$

Cancel the common factor of $4$ .

Factor $4$ out of $- f \cdot 4$ .

$\frac{- 1}{4} (4 \cdot (- f)) = - \frac{9}{4} \cdot - 3$

Cancel the common factor.

$\frac{- 1}{4} (4 \cdot (- f)) = - \frac{9}{4} \cdot - 3$

Rewrite the expression.

$- - f = - \frac{9}{4} \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 f = - \frac{9}{4} \cdot - 3$

Multiply $f$ by $1$ .

$f = - \frac{9}{4} \cdot - 3$

Simplify the right side.

Multiply $- \frac{9}{4} \cdot - 3$ .

Multiply $- 3$ by $- 1$ .

$f = 3 (\frac{9}{4})$

Combine $3$ and $\frac{9}{4}$ .

$f = \frac{3 \cdot 9}{4}$

Multiply $3$ by $9$ .

$f = \frac{27}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$f = \frac{27}{4}$

Decimal Form:

$f = 6.75$

Mixed Number Form:

$f = 6 \frac{3}{4}$

Solve for f -4/9f=-3

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