Basic Math Examples

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

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Move the leading negative in

- \frac{4}{9}

$- \frac{4}{9}$ into the numerator.

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

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

Step 2.2

Factor

3

$3$ out of

9

$9$ .

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

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

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

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.

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

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

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

$1$ .

$\frac{2}{3}$

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$