Finite Math Examples

$- \frac{4}{3} r = - 16$

Step 1

Multiply both sides of the equation by $- \frac{3}{4}$ .

$- \frac{3}{4} (- \frac{4}{3} r) = - \frac{3}{4} \cdot - 16$

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 $- \frac{3}{4} (- \frac{4}{3} r)$ .

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Step 2.1.1.1

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

$- \frac{3}{4} (- \frac{r \cdot 4}{3}) = - \frac{3}{4} \cdot - 16$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$\frac{- 3}{4} (- \frac{r \cdot 4}{3}) = - \frac{3}{4} \cdot - 16$

Step 2.1.1.2.2

Move the leading negative in $- \frac{r \cdot 4}{3}$ into the numerator.

$\frac{- 3}{4} \cdot \frac{- r \cdot 4}{3} = - \frac{3}{4} \cdot - 16$

Step 2.1.1.2.3

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{4} \cdot \frac{- r \cdot 4}{3} = - \frac{3}{4} \cdot - 16$

Step 2.1.1.2.4

Cancel the common factor.

$\frac{3 \cdot - 1}{4} \cdot \frac{- r \cdot 4}{3} = - \frac{3}{4} \cdot - 16$

Step 2.1.1.2.5

Rewrite the expression.

$\frac{- 1}{4} (- r \cdot 4) = - \frac{3}{4} \cdot - 16$

Step 2.1.1.3

Cancel the common factor of $4$ .

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Step 2.1.1.3.1

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

$\frac{- 1}{4} (4 \cdot (- r)) = - \frac{3}{4} \cdot - 16$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{- 1}{4} (4 \cdot (- r)) = - \frac{3}{4} \cdot - 16$

Step 2.1.1.3.3

Rewrite the expression.

$- - r = - \frac{3}{4} \cdot - 16$

Step 2.1.1.4

Multiply.

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Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 r = - \frac{3}{4} \cdot - 16$

Step 2.1.1.4.2

Multiply $r$ by $1$ .

$r = - \frac{3}{4} \cdot - 16$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- \frac{3}{4} \cdot - 16$ .

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Step 2.2.1.1

Cancel the common factor of $4$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$r = \frac{- 3}{4} \cdot - 16$

Step 2.2.1.1.2

Factor $4$ out of $- 16$ .

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

Step 2.2.1.1.3

Cancel the common factor.

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

Step 2.2.1.1.4

Rewrite the expression.

$r = - 3 \cdot - 4$

Step 2.2.1.2

Multiply $- 3$ by $- 4$ .

$r = 12$