Basic Math Examples

$\frac{- 12}{2} \cdot \frac{d (- 5)}{6} = \frac{- 5}{6}$

Step 1

Simplify $\frac{- 12}{2} \cdot \frac{d (- 5)}{6}$ .

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Step 1.1

Cancel the common factor of $6$ .

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Step 1.1.1

Factor $6$ out of $- 12$ .

$\frac{6 (- 2)}{2} \cdot \frac{d (- 5)}{6} = \frac{- 5}{6}$

Step 1.1.2

Cancel the common factor.

$\frac{6 \cdot - 2}{2} \cdot \frac{d (- 5)}{6} = \frac{- 5}{6}$

Step 1.1.3

Rewrite the expression.

$\frac{- 2}{2} \cdot (d (- 5)) = \frac{- 5}{6}$

Step 1.2

Combine $d$ and $\frac{- 2}{2}$ .

$\frac{d \cdot - 2}{2} \cdot - 5 = \frac{- 5}{6}$

Step 1.3

Combine $\frac{d \cdot - 2}{2}$ and $- 5$ .

$\frac{d \cdot - 2 \cdot - 5}{2} = \frac{- 5}{6}$

Step 1.4

Multiply $- 5$ by $- 2$ .

$\frac{d \cdot 10}{2} = \frac{- 5}{6}$

Step 1.5

Cancel the common factor of $10$ and $2$ .

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Step 1.5.1

Factor $2$ out of $d \cdot 10$ .

$\frac{2 (d \cdot 5)}{2} = \frac{- 5}{6}$

Step 1.5.2

Cancel the common factors.

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Step 1.5.2.1

Factor $2$ out of $2$ .

$\frac{2 (d \cdot 5)}{2 (1)} = \frac{- 5}{6}$

Step 1.5.2.2

Cancel the common factor.

$\frac{2 (d \cdot 5)}{2 \cdot 1} = \frac{- 5}{6}$

Step 1.5.2.3

Rewrite the expression.

$\frac{d \cdot 5}{1} = \frac{- 5}{6}$

Step 1.5.2.4

Divide $d \cdot 5$ by $1$ .

$d \cdot 5 = \frac{- 5}{6}$

Step 1.6

Move $5$ to the left of $d$ .

$5 d = \frac{- 5}{6}$

Step 2

Move the negative in front of the fraction.

$5 d = - \frac{5}{6}$

Step 3

Divide each term in $5 d = - \frac{5}{6}$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 d = - \frac{5}{6}$ by $5$ .

$\frac{5 d}{5} = \frac{- \frac{5}{6}}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 d}{5} = \frac{- \frac{5}{6}}{5}$

Step 3.2.1.2

Divide $d$ by $1$ .

$d = \frac{- \frac{5}{6}}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$d = - \frac{5}{6} \cdot \frac{1}{5}$

Step 3.3.2

Cancel the common factor of $5$ .

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Step 3.3.2.1

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$d = \frac{- 5}{6} \cdot \frac{1}{5}$

Step 3.3.2.2

Factor $5$ out of $- 5$ .

$d = \frac{5 (- 1)}{6} \cdot \frac{1}{5}$

Step 3.3.2.3

Cancel the common factor.

$d = \frac{5 \cdot - 1}{6} \cdot \frac{1}{5}$

Step 3.3.2.4

Rewrite the expression.

$d = \frac{- 1}{6}$

Step 3.3.3

Move the negative in front of the fraction.

$d = - \frac{1}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$d = - \frac{1}{6}$

Decimal Form:

$d = - 0.1\overline{6}$