Rationalize

Rationalize[x]
converts an approximate number x to a nearby rational with small denominator.

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

DetailsDetails

  • Rationalize[x,dx] works with exact numbers x.
  • Rationalize[x] yields x unchanged if there is no rational number close enough to x to satisfy the condition , with chosen to be .
  • Rationalize[x,0] converts any x to rational form. »
Introduced in 1988
(1.0)
| Updated in 1999
(4.0)