Basic Math Examples

12 \div 2 \frac{9}{13}

$12 \div 2 \frac{9}{13}$

Step 1

Convert

2 \frac{9}{13}

$2 \frac{9}{13}$ to an improper fraction.

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Step 1.1

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

12 \div (2 + \frac{9}{13})

$12 \div (2 + \frac{9}{13})$

Step 1.2

Add

2

$2$ and

\frac{9}{13}

$\frac{9}{13}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{13}{13}

$\frac{13}{13}$ .

12 \div (2 \cdot \frac{13}{13} + \frac{9}{13})

$12 \div (2 \cdot \frac{13}{13} + \frac{9}{13})$

Step 1.2.2

Combine

2

$2$ and

\frac{13}{13}

$\frac{13}{13}$ .

12 \div (\frac{2 \cdot 13}{13} + \frac{9}{13})

$12 \div (\frac{2 \cdot 13}{13} + \frac{9}{13})$

Step 1.2.3

Combine the numerators over the common denominator.

12 \div \frac{2 \cdot 13 + 9}{13}

$12 \div \frac{2 \cdot 13 + 9}{13}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

13

$13$ .

12 \div \frac{26 + 9}{13}

$12 \div \frac{26 + 9}{13}$

Step 1.2.4.2

Add

26

$26$ and

9

$9$ .

12 \div \frac{35}{13}

$12 \div \frac{35}{13}$

12 \div \frac{35}{13}

$12 \div \frac{35}{13}$

12 \div \frac{35}{13}

$12 \div \frac{35}{13}$

12 \div \frac{35}{13}

$12 \div \frac{35}{13}$

Step 2

To divide by a fraction, multiply by its reciprocal.

12 (\frac{13}{35})

$12 (\frac{13}{35})$

Step 3

Multiply

12 (\frac{13}{35})

$12 (\frac{13}{35})$ .

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Step 3.1

Combine

12

$12$ and

\frac{13}{35}

$\frac{13}{35}$ .

\frac{12 \cdot 13}{35}

$\frac{12 \cdot 13}{35}$

Step 3.2

Multiply

12

$12$ by

13

$13$ .

\frac{156}{35}

$\frac{156}{35}$

\frac{156}{35}

$\frac{156}{35}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{156}{35}

$\frac{156}{35}$

Decimal Form:

4.45714285 \dots

$4.45714285 \dots$

Mixed Number Form:

4 \frac{16}{35}

$4 \frac{16}{35}$