Basic Math Examples

$d (10) = 50 (\frac{2 (- 10)}{12})$

Step 1

Simplify.

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Step 1.1

Multiply $2$ by $- 10$ .

$d (10) = 50 (\frac{- 20}{12})$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $50$ .

$d (10) = 2 (25) \frac{- 20}{12}$

Step 1.2.2

Factor $2$ out of $12$ .

$d (10) = 2 \cdot 25 \frac{- 20}{2 \cdot 6}$

Step 1.2.3

Cancel the common factor.

$d (10) = 2 \cdot 25 \frac{- 20}{2 \cdot 6}$

Step 1.2.4

Rewrite the expression.

$d (10) = 25 (\frac{- 20}{6})$

Step 1.3

Combine $25$ and $\frac{- 20}{6}$ .

$d (10) = \frac{25 \cdot - 20}{6}$

Step 1.4

Multiply $25$ by $- 20$ .

$d (10) = \frac{- 500}{6}$

Step 1.5

Reduce the expression $\frac{- 500}{6}$ by cancelling the common factors.

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Step 1.5.1

Factor $2$ out of $- 500$ .

$d (10) = \frac{2 (- 250)}{6}$

Step 1.5.2

Factor $2$ out of $6$ .

$d (10) = \frac{2 \cdot - 250}{2 \cdot 3}$

Step 1.5.3

Cancel the common factor.

$d (10) = \frac{2 \cdot - 250}{2 \cdot 3}$

Step 1.5.4

Rewrite the expression.

$d (10) = \frac{- 250}{3}$

Step 1.6

Move the negative in front of the fraction.

$d (10) = - \frac{250}{3}$

Step 2

Divide each term in $d (10) = - \frac{250}{3}$ by $10$ and simplify.

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Step 2.1

Divide each term in $d (10) = - \frac{250}{3}$ by $10$ .

$\frac{d (10)}{10} = \frac{- \frac{250}{3}}{10}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $10$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{d \cdot 10}{10} = \frac{- \frac{250}{3}}{10}$

Step 2.2.1.2

Divide $d$ by $1$ .

$d = \frac{- \frac{250}{3}}{10}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$d = - \frac{250}{3} \cdot \frac{1}{10}$

Step 2.3.2

Cancel the common factor of $10$ .

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Step 2.3.2.1

Move the leading negative in $- \frac{250}{3}$ into the numerator.

$d = \frac{- 250}{3} \cdot \frac{1}{10}$

Step 2.3.2.2

Factor $10$ out of $- 250$ .

$d = \frac{10 (- 25)}{3} \cdot \frac{1}{10}$

Step 2.3.2.3

Cancel the common factor.

$d = \frac{10 \cdot - 25}{3} \cdot \frac{1}{10}$

Step 2.3.2.4

Rewrite the expression.

$d = \frac{- 25}{3}$

Step 2.3.3

Move the negative in front of the fraction.

$d = - \frac{25}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = - \frac{25}{3}$

Decimal Form:

$d = - 8.\overline{3}$

Mixed Number Form:

$d = - 8 \frac{1}{3}$