Basic Math Examples

14 \div 1 \frac{1}{2}

$14 \div 1 \frac{1}{2}$

Step 1

Convert

1 \frac{1}{2}

$1 \frac{1}{2}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

14 \div (1 + \frac{1}{2})

$14 \div (1 + \frac{1}{2})$

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

14 \div (\frac{2}{2} + \frac{1}{2})

$14 \div (\frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine the numerators over the common denominator.

14 \div \frac{2 + 1}{2}

$14 \div \frac{2 + 1}{2}$

Step 1.2.3

Add

2

$2$ and

1

$1$ .

14 \div \frac{3}{2}

$14 \div \frac{3}{2}$

14 \div \frac{3}{2}

$14 \div \frac{3}{2}$

14 \div \frac{3}{2}

$14 \div \frac{3}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

14 (\frac{2}{3})

$14 (\frac{2}{3})$

Step 3

Multiply

14 (\frac{2}{3})

$14 (\frac{2}{3})$ .

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Step 3.1

Combine

14

$14$ and

\frac{2}{3}

$\frac{2}{3}$ .

\frac{14 \cdot 2}{3}

$\frac{14 \cdot 2}{3}$

Step 3.2

Multiply

14

$14$ by

2

$2$ .

\frac{28}{3}

$\frac{28}{3}$

\frac{28}{3}

$\frac{28}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{28}{3}

$\frac{28}{3}$

Decimal Form:

9.\overline{3}

$9.\overline{3}$

Mixed Number Form:

9 \frac{1}{3}

$9 \frac{1}{3}$