Basic Math Examples

14 \div 5 \frac{5}{6}

$14 \div 5 \frac{5}{6}$

Step 1

Convert

5 \frac{5}{6}

$5 \frac{5}{6}$ 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 (5 + \frac{5}{6})

$14 \div (5 + \frac{5}{6})$

Step 1.2

Add

5

$5$ and

\frac{5}{6}

$\frac{5}{6}$ .

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Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

14 \div (5 \cdot \frac{6}{6} + \frac{5}{6})

$14 \div (5 \cdot \frac{6}{6} + \frac{5}{6})$

Step 1.2.2

Combine

5

$5$ and

\frac{6}{6}

$\frac{6}{6}$ .

14 \div (\frac{5 \cdot 6}{6} + \frac{5}{6})

$14 \div (\frac{5 \cdot 6}{6} + \frac{5}{6})$

Step 1.2.3

Combine the numerators over the common denominator.

14 \div \frac{5 \cdot 6 + 5}{6}

$14 \div \frac{5 \cdot 6 + 5}{6}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

6

$6$ .

14 \div \frac{30 + 5}{6}

$14 \div \frac{30 + 5}{6}$

Step 1.2.4.2

Add

30

$30$ and

5

$5$ .

14 \div \frac{35}{6}

$14 \div \frac{35}{6}$

14 \div \frac{35}{6}

$14 \div \frac{35}{6}$

14 \div \frac{35}{6}

$14 \div \frac{35}{6}$

14 \div \frac{35}{6}

$14 \div \frac{35}{6}$

Step 2

To divide by a fraction, multiply by its reciprocal.

14 (\frac{6}{35})

$14 (\frac{6}{35})$

Step 3

Cancel the common factor of

7

$7$ .

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Step 3.1

Factor

7

$7$ out of

14

$14$ .

7 (2) \frac{6}{35}

$7 (2) \frac{6}{35}$

Step 3.2

Factor

7

$7$ out of

35

$35$ .

7 \cdot 2 \frac{6}{7 \cdot 5}

$7 \cdot 2 \frac{6}{7 \cdot 5}$

Step 3.3

Cancel the common factor.

$7 \cdot 2 \frac{6}{7 \cdot 5}$

Step 3.4

Rewrite the expression.

$2 (\frac{6}{5})$

Step 4

Combine

$2$ and

$\frac{6}{5}$ .

$\frac{2 \cdot 6}{5}$

Step 5

Multiply

$2$ by

$6$ .

$\frac{12}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$