fraction: ^1.2.1 copied to clipboard
A package that helps you dealing with mathematical fractions. Work with fractions, mixed fractions and types conversions.
A package that helps you dealing with mathematical fractions.
Fractionwhich represents fractions in the form
MixedFractionwhich represents mixed fractions in the form
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
precisionparameter 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
picannot be represented as a fraction because it's an irrational number. The constructor considers only
precisondecimal 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
3/6 are said to be
1*6 = 3*2 (and in fact
3/6 is the same as
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
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.