Pre-Algebra Examples

$\frac{- \frac{4 x}{9}}{- \frac{2 x}{3}}$

Step 1

Dividing two negative values results in a positive value.

$\frac{\frac{4 x}{9}}{\frac{2 x}{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{4 x}{9} \cdot \frac{3}{2 x}$

Step 3

Cancel the common factor of $2 x$ .

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Step 3.1

Factor $2 x$ out of $4 x$ .

$\frac{2 x (2)}{9} \cdot \frac{3}{2 x}$

Step 3.2

Cancel the common factor.

$\frac{2 x \cdot 2}{9} \cdot \frac{3}{2 x}$

Step 3.3

Rewrite the expression.

$\frac{2}{9} \cdot 3$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $9$ .

$\frac{2}{3 (3)} \cdot 3$

Step 4.2

Cancel the common factor.

$\frac{2}{3 \cdot 3} \cdot 3$

Step 4.3

Rewrite the expression.

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$