Basic Math Examples

$\frac{- 1}{3} d = 12$

Step 1

Multiply both sides of the equation by $\frac{3}{- 1}$ .

$\frac{3}{- 1} (\frac{- 1}{3} d) = \frac{3}{- 1} \cdot 12$

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 $\frac{3}{- 1} (\frac{- 1}{3} d)$ .

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Step 2.1.1.1

Simplify the expression.

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Step 2.1.1.1.1

Divide $3$ by $- 1$ .

$- 3 (\frac{- 1}{3} d) = \frac{3}{- 1} \cdot 12$

Step 2.1.1.1.2

Move the negative in front of the fraction.

$- 3 (- \frac{1}{3} d) = \frac{3}{- 1} \cdot 12$

Step 2.1.1.2

Combine $d$ and $\frac{1}{3}$ .

$- 3 (- \frac{d}{3}) = \frac{3}{- 1} \cdot 12$

Step 2.1.1.3

Cancel the common factor of $3$ .

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Step 2.1.1.3.1

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

$- 3 \frac{- d}{3} = \frac{3}{- 1} \cdot 12$

Step 2.1.1.3.2

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- d}{3} = \frac{3}{- 1} \cdot 12$

Step 2.1.1.3.3

Cancel the common factor.

$3 \cdot - 1 \frac{- d}{3} = \frac{3}{- 1} \cdot 12$

Step 2.1.1.3.4

Rewrite the expression.

$- - d = \frac{3}{- 1} \cdot 12$

Step 2.1.1.4

Multiply.

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Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 d = \frac{3}{- 1} \cdot 12$

Step 2.1.1.4.2

Multiply $d$ by $1$ .

$d = \frac{3}{- 1} \cdot 12$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{3}{- 1} \cdot 12$ .

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Step 2.2.1.1

Divide $3$ by $- 1$ .

$d = - 3 \cdot 12$

Step 2.2.1.2

Multiply $- 3$ by $12$ .

$d = - 36$