Pre-Algebra Examples

\frac{3}{4} \div \frac{2}{3}

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

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

Step 2

Multiply

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

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

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Step 2.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{3}{2}

$\frac{3}{2}$ .

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

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

Step 2.2

Multiply

3

$3$ by

3

$3$ .

\frac{9}{4 \cdot 2}

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

Step 2.3

Multiply

4

$4$ by

2

$2$ .

\frac{9}{8}

$\frac{9}{8}$

\frac{9}{8}

$\frac{9}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{9}{8}

$\frac{9}{8}$

Decimal Form:

1.125

$1.125$

Mixed Number Form:

1 \frac{1}{8}

$1 \frac{1}{8}$