I’m looking for a Java library which represents fractions (rational numbers). For example, if I want to store the fraction `1/3`

then it will not be saved as `0.33333`

which will lose its accuracy.

Here is some of the functionality I expect finding in such a library:

`getNumerator()`

`getDenominator()`

`add(Rational r1, Rational r2)`

,`subtract(Rational r1, Rational r2)`

,`multiply(Rational r1, Rational r2)`

,`divide(Rational r1, Rational r2)`

`isProper()`

`getCommonDenominator(Collection<Rational> rationals)`

`getSimplified()`

I can implement such a library by myself, though I was wondering whether something similar already exists.

**EDIT:** It would also be nice if the library implements (in addition to the above) some number theory algorithms, such as `getEgyptianFractionsSum()`

etc.

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## Answer

The `JScience`

library includes the class `org.jscience.mathematics.number.Rational`

. In addition to the usual factories, accessors and operations, one can construct other useful entities, including `Polynomial<Rational>`

, `Vector<Rational>`

and `Matrix<Rational>`

.

As an example, a function to obtain the lowest common denominator of a collection of fractions might look like this:

private static LargeInteger lcd(Collection<Rational> fractions) { Rational sum = Rational.ZERO; for (Rational rational : fractions) { sum = sum.plus(rational); } return sum.getDivisor(); }

The following statement prints `6`

:

System.out.println(lcd(Arrays.asList( Rational.valueOf(1, 2), Rational.valueOf(1, 3))));

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