noun

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

  ‘However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory.’

  More example sentences

  • ‘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.’
  • ‘He wrote his doctoral thesis on algorithms for continued fractions which he submitted to the University of St Petersburg.’
  • ‘Catalan published extensively on continued fractions and number theory.’