Basic Math Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

$- (\frac{3}{2} (- \frac{4}{9}))$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

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

$- (\frac{3}{2} \cdot \frac{- 4}{9})$

Step 2.2

Factor $3$ out of $9$ .

$- (\frac{3}{2} \cdot \frac{- 4}{3 (3)})$

Step 2.3

Cancel the common factor.

$- (\frac{3}{2} \cdot \frac{- 4}{3 \cdot 3})$

Step 2.4

Rewrite the expression.

$- (\frac{1}{2} \cdot \frac{- 4}{3})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $- 4$ .

$- (\frac{1}{2} \cdot \frac{2 (- 2)}{3})$

Step 3.2

Cancel the common factor.

$- (\frac{1}{2} \cdot \frac{2 \cdot - 2}{3})$

Step 3.3

Rewrite the expression.

$- \frac{- 2}{3}$

Step 4

Move the negative in front of the fraction.

$- - \frac{2}{3}$

Step 5

Multiply $- - \frac{2}{3}$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{2}{3})$

Step 5.2

Multiply $\frac{2}{3}$ by $1$ .

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$