Basic Math Examples

\frac{15}{2} \div \frac{2}{3}

$\frac{15}{2} \div \frac{2}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{15}{2} \cdot \frac{3}{2}

$\frac{15}{2} \cdot \frac{3}{2}$

Step 2

Multiply

\frac{15}{2} \cdot \frac{3}{2}

$\frac{15}{2} \cdot \frac{3}{2}$ .

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Step 2.1

Multiply

\frac{15}{2}

$\frac{15}{2}$ by

\frac{3}{2}

$\frac{3}{2}$ .

\frac{15 \cdot 3}{2 \cdot 2}

$\frac{15 \cdot 3}{2 \cdot 2}$

Step 2.2

Multiply

15

$15$ by

3

$3$ .

\frac{45}{2 \cdot 2}

$\frac{45}{2 \cdot 2}$

Step 2.3

Multiply

2

$2$ by

2

$2$ .

\frac{45}{4}

$\frac{45}{4}$

\frac{45}{4}

$\frac{45}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{45}{4}

$\frac{45}{4}$

Decimal Form:

11.25

$11.25$

Mixed Number Form:

11 \frac{1}{4}

$11 \frac{1}{4}$