Rationalize

Rationalize[x] takes Real numbers in x that are close to rationals, and converts them to exact Rational numbers.

Rationalize[x, dx] performs the conversion whenever the error made is smaller in magnitude than dx.

Example: Rationalize[3.78] .

Rationalize[x, dx] yields the rational number with the smallest denominator that lies within dx of x.

Rationalize[N[Pi]] does not give a rational number, since there is none "sufficiently close" to N[Pi].

A rational number is considered "sufficiently close" to a Real if , where is chosen to be .

Rationalize[x, 0] converts any x to rational form.

See Section 3.2.2.

See also: Chop, Round, ContinuedFraction, LatticeReduce.

Related package: NumberTheory`Rationalize`.

New in Version 1.

Further Examples