Basic Math Examples

5 \div 5 \frac{5}{11}

$5 \div 5 \frac{5}{11}$

Step 1

Convert

5 \frac{5}{11}

$5 \frac{5}{11}$ to an improper fraction.

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Step 1.1

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

5 \div (5 + \frac{5}{11})

$5 \div (5 + \frac{5}{11})$

Step 1.2

Add

5

$5$ and

\frac{5}{11}

$\frac{5}{11}$ .

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Step 1.2.1

To write

5

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

\frac{11}{11}

$\frac{11}{11}$ .

5 \div (5 \cdot \frac{11}{11} + \frac{5}{11})

$5 \div (5 \cdot \frac{11}{11} + \frac{5}{11})$

Step 1.2.2

Combine

5

$5$ and

\frac{11}{11}

$\frac{11}{11}$ .

5 \div (\frac{5 \cdot 11}{11} + \frac{5}{11})

$5 \div (\frac{5 \cdot 11}{11} + \frac{5}{11})$

Step 1.2.3

Combine the numerators over the common denominator.

5 \div \frac{5 \cdot 11 + 5}{11}

$5 \div \frac{5 \cdot 11 + 5}{11}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

11

$11$ .

5 \div \frac{55 + 5}{11}

$5 \div \frac{55 + 5}{11}$

Step 1.2.4.2

Add

55

$55$ and

5

$5$ .

5 \div \frac{60}{11}

$5 \div \frac{60}{11}$

5 \div \frac{60}{11}

$5 \div \frac{60}{11}$

5 \div \frac{60}{11}

$5 \div \frac{60}{11}$

5 \div \frac{60}{11}

$5 \div \frac{60}{11}$

Step 2

To divide by a fraction, multiply by its reciprocal.

5 (\frac{11}{60})

$5 (\frac{11}{60})$

Step 3

Cancel the common factor of

5

$5$ .

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Step 3.1

Factor

5

$5$ out of

60

$60$ .

5 \frac{11}{5 (12)}

$5 \frac{11}{5 (12)}$

Step 3.2

Cancel the common factor.

$5 \frac{11}{5 \cdot 12}$

Step 3.3

Rewrite the expression.

$\frac{11}{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{12}$

Decimal Form:

$0.91\overline{6}$