# fraction 1.2.1

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A package that helps you dealing with mathematical fractions. Work with fractions, mixed fractions and types conversions.

# fraction #

A package that helps you dealing with mathematical fractions.

• `Fraction` which represents fractions in the form `a/b`;
• `MixedFraction` which represents mixed fractions in the form `a b/c`

## Working with fractions #

You can create an instance of `Fraction` using one of its constructors.

• Basic: it just requires the numerator and/or the denominator.

``````final frac = Fraction(3, 5); // 3/5
final frac = Fraction(3, 1); // 3
``````
• String: pass the fraction as a string but it has to be well-formed otherwise an exception is thrown.

``````final frac1 = Fraction.fromString("2/4"); // 2/4
final frac2 = Fraction.fromString("-2/4"); // -2/4
final frac3 = Fraction.fromString("2/-4"); // Error
final frac4 = Fraction.fromString("-2"); // -2/1
``````
• double: represents a double as a fraction. Note that irrational numbers cannot be converted into a fraction by definition; the constructor has the `precision` parameter which decides how precise the representation has to be.

``````final frac1 = Fraction.fromDouble(1.5); // 3/2
final frac2 = Fraction.fromString(-8.5); // -17/2
final frac3 = Fraction.fromString(math.pi); // 208341/66317
final frac4 = Fraction.fromString(math.pi, 1.0E-4); // 333/106
``````

The constant `pi` cannot be represented as a fraction because it's an irrational number. The constructor considers only `precison` decimal digits to create a fraction. With rational numbers instead you don't have problems.

Thanks to extension methods you can also create a `Fraction` object "on the fly" by calling the `toFraction()` method on a number or a string.

``````final f1 = 5.toFraction(); // 5/1
final f2 = 1.5.toFraction(); // 3/2
final f3 = "6/5".toFraction(); // 6/5
``````

The class has a rich API that overloads a lot of operators, for arithmetics and comparisons. The method `reduces` reduces the fraction to the lowest terms.

``````final fraction = Fraction.fromString("12/20"); // 12/20
fraction.reduce(); // now it's simplified to  3/5
``````

Two fractions are equal if their "cross product" is equal. For example `1/2` and `3/6` are said to be equivalent because `1*6 = 3*2` (and in fact `3/6` is the same as `1/2`).

## Working with mixed fractions #

A mixed fraction is made up of a whole part and a proper fraction (a fraction in which numerator <= denominator). It's easy to build a `MixedFraction` object:

``````final f1 = MixedFraction(3, 4, 7);
final f2 = MixedFraction.fromDouble(1.5);
final f3 = MixedFraction.fromString("1 1/2");
``````

There is also the possibility to initialize a `MixedFraction` using extension methods:

``````final f1 = "1 1/2".toMixedFraction();
``````

If you try to create an instance in which the numerator is greater than the denominator, a `MixedFractionException` is thrown.

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### Publisher

A package that helps you dealing with mathematical fractions. Work with fractions, mixed fractions and types conversions.