Basic Math Examples

$(- \frac{3}{4}) (\frac{1}{2}) \div \frac{9}{8}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(- \frac{3}{4}) (\frac{1}{2}) \frac{8}{9}$

Step 2

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

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Step 2.1

Multiply $\frac{1}{2}$ by $\frac{3}{4}$ .

$- \frac{3}{2 \cdot 4} \cdot \frac{8}{9}$

Step 2.2

Multiply $2$ by $4$ .

$- \frac{3}{8} \cdot \frac{8}{9}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Move the leading negative in $- \frac{3}{8}$ into the numerator.

$\frac{- 3}{8} \cdot \frac{8}{9}$

Step 3.2

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{8} \cdot \frac{8}{9}$

Step 3.3

Factor $3$ out of $9$ .

$\frac{3 \cdot - 1}{8} \cdot \frac{8}{3 \cdot 3}$

Step 3.4

Cancel the common factor.

$\frac{3 \cdot - 1}{8} \cdot \frac{8}{3 \cdot 3}$

Step 3.5

Rewrite the expression.

$\frac{- 1}{8} \cdot \frac{8}{3}$

Step 4

Cancel the common factor of $8$ .

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Step 4.1

Cancel the common factor.

$\frac{- 1}{8} \cdot \frac{8}{3}$

Step 4.2

Rewrite the expression.

$- \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$