Pre-Algebra Examples

$\frac{4}{3} \cdot \frac{9}{8} \div \frac{9}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $8$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{9}{2} \frac{4}{9}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $9$ .

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

Step 3.2

Cancel the common factor.

$\frac{1}{3} \cdot \frac{3 \cdot 3}{2} \frac{4}{9}$

Step 3.3

Rewrite the expression.

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

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $9$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$\frac{1}{2} \cdot \frac{4}{3}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $4$ .

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

Step 5.2

Cancel the common factor.

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

Step 5.3

Rewrite the expression.

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$