Basic Math Examples

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

Step 1

Convert

$5 \frac{5}{6}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add

$5$ and

$\frac{5}{6}$ .

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Step 1.2.1

To write

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

$\frac{6}{6}$ .

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

Step 1.2.2

Combine

$5$ and

$\frac{6}{6}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$5$ by

$6$ .

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

Step 1.2.4.2

Add

$30$ and

$5$ .

$\frac{35}{6} \div 5$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{35}{6}}{5}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{35}{6} \cdot \frac{1}{5}$

Step 4

Cancel the common factor of

$5$ .

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Step 4.1

Factor

$5$ out of

$35$ .

$\frac{5 (7)}{6} \cdot \frac{1}{5}$

Step 4.2

Cancel the common factor.

$\frac{5 \cdot 7}{6} \cdot \frac{1}{5}$

Step 4.3

Rewrite the expression.

$\frac{7}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{6}$

Decimal Form:

$1.1\overline{6}$

Mixed Number Form:

$1 \frac{1}{6}$