Basic Math Examples

$- 10 w = - \frac{4}{9}$

Step 1

Divide each term in $- 10 w = - \frac{4}{9}$ by $- 10$ .

$\frac{- 10 w}{- 10} = \frac{- \frac{4}{9}}{- 10}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 10$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 10 w}{- 10} = \frac{- \frac{4}{9}}{- 10}$

Step 2.1.2

Divide $w$ by $1$ .

$w = \frac{- \frac{4}{9}}{- 10}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$w = - \frac{4}{9} \cdot \frac{1}{- 10}$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

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

$w = \frac{- 4}{9} \cdot \frac{1}{- 10}$

Step 3.2.2

Factor $2$ out of $- 4$ .

$w = \frac{2 (- 2)}{9} \cdot \frac{1}{- 10}$

Step 3.2.3

Factor $2$ out of $- 10$ .

$w = \frac{2 \cdot - 2}{9} \cdot \frac{1}{2 \cdot - 5}$

Step 3.2.4

Cancel the common factor.

$w = \frac{2 \cdot - 2}{9} \cdot \frac{1}{2 \cdot - 5}$

Step 3.2.5

Rewrite the expression.

$w = \frac{- 2}{9} \cdot \frac{1}{- 5}$

Step 3.3

Multiply $\frac{- 2}{9}$ by $\frac{1}{- 5}$ .

$w = \frac{- 2}{9 \cdot - 5}$

Step 3.4

Multiply $9$ by $- 5$ .

$w = \frac{- 2}{- 45}$

Step 3.5

Dividing two negative values results in a positive value.

$w = \frac{2}{45}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = \frac{2}{45}$

Decimal Form:

$w = 0.0\overline{4}$