Definition of continued fraction in US English:

continued fraction


  • A fraction of infinite length whose denominator is a quantity plus a fraction, which latter fraction has a similar denominator, and so on.

    • ‘He wrote his doctoral thesis on algorithms for continued fractions which he submitted to the University of St Petersburg.’
    • ‘However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory.’
    • ‘Catalan published extensively on continued fractions and number theory.’
    • ‘He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.’
    • ‘In the continued fraction of the square root of an integer the same denominators recur periodically.’