ToFraction

Converts a number to an approximating rational number.

Syntax

• ToFraction(x)

  • x is a number

• ToFraction(r)

  • r is a structure of type RationalNumber

• ToFraction(a[, [b, ...]])

  • a, b, ... are the numbers of a continued fraction representation

• ToFraction(L)

  • L is a list containing the numbers of a continued fraction representation

Description

• If x is a number, then ToFraction(x) is a rational number equal to or very nearly equal to x.

• If r is a structure of type RationalNumber, then ToFraction(r) is the rational number that r represents.

• If a, b, ... is the list of numbers of a continued fraction representation, or if L is a list with these numbers, then ToFraction(a, b, ...) and ToFraction(L) both return the rational number that the continued fraction represents.

Examples

ToFraction(5.72)

143/25	(=5.72)

ToFraction(π)

2549491779/811528438	(=3.14159265359)

ToFraction(5, 1, 2, 1, 1, 3)

143/25	(=5.72)

See also

• FractionParts

• ContinuedFraction

• Type conversion functions (list)