## Fractions

### Descriptions

"In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero."
See also http://en.wikipedia.org/wiki/Rational_number
Text published under the conditions described at http://creativecommons.org/licenses/by-sa/3.0/deed.de

### Notes

You can enter rational numbers at the NumericalChameleon in multiple ways:
Fraction (common)
That is the common format for a fraction: numerator, slash, denominator.
Example: 8/3
If the denominator is 1, the input is valid also without both slash and denominator.
Example: 42
Fraction (mixed number)
A mixed number fraction has to be entered as the number of the "wholes" (optional), a blank, the numerator, a slash and the denominator.
Example: 2 2/3
Decimal (rounded)
A rational number as a rounded decimal number., up to 1000 digits after the comma are allowed.
Example: 2,666666666667
Decimal (exact)
A rational number expressed as a decimal number with an indicator of the periodic. The periodic sign can be a tilde (~, e. g. Unicode-character 0x007E) or the periodic sign (¯, e. g. Unicode-character 0x00AF).
Example: 2.¯6 or 2.~6
Percent %
A rational number can be expressed as a Percent value
Example: 266.666666666667
Promille ‰
A rational number can be expressed as a Promille value
Example: 2666.666666666667
Permyriad ‱
A rational number can be expressed as a Permyriad value
Example: 26666.66666666667

### Real Life Examples

Reduce a fraction
If you have selected "Fraction (common)" or "Fraction (mixed number), you can read the fraction as a reduced fraction
Examples:
9/24 [Fraction (common)] = 3/8 [Fraction (common)]
12 9/6 [Fraction (common)] = 13 1/2 [Fraction (mixed number)]
From a periodic value to a fraction
Interesting periodic values can be converted to a fraction.
Examples:
0.12~34 [Decimal (exact)] = 611/4950 [Fraction (common)]
0.0815~42 [Decimal (exact)] = 26909/330000 [Fraction (common)]