Basic Math Examples

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

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

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

Step 1.2

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

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

Step 1.3

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{3} \cdot \frac{- 9}{4}$

Step 1.4

Factor $2$ out of $4$ .

$\frac{2 \cdot - 1}{3} \cdot \frac{- 9}{2 \cdot 2}$

Step 1.5

Cancel the common factor.

$\frac{2 \cdot - 1}{3} \cdot \frac{- 9}{2 \cdot 2}$

Step 1.6

Rewrite the expression.

$\frac{- 1}{3} \cdot \frac{- 9}{2}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $- 9$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Move the negative in front of the fraction.

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

Step 4

Multiply $- 1 (- \frac{3}{2})$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

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

Step 4.2

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

$\frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$