The Addition and Subtraction Operations for two Continued Fractions

  • Souad I. Mugassabi
  • Fatima F. Abdullah
Keywords: Continued fractions, Addition operation of continued fractions, Subtraction operation of continued fractions


The continued fractions (C.F.) with positive non integer numerators are considered. The addition and  subtraction operations of two continued fractions are discovered. Many definitions and examples that we used of these low are presented.


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Author Biographies

Souad I. Mugassabi

University of Benghazi, Benghazi, Libya

Fatima F. Abdullah

University of Benghazi, Benghazi, Libya


[1] Alan Baker (1986). "A concise introduction to theory of numbers". Cambridge University press,.
[2] Burton, D. M. (2006). "Elementary number theory". Tata McGraw-Hill Education.
[3] Greene, J., & Schmieg, J. (2017). "Continued Fractions with Non-Integer Numerators". J. Integer Seq., 20(1), 17-1.
[4] Hardy, G. H., Wright, E. M., Heath-Brown, R., Silverman, J., & Wiles, A. (2008). "An Introduction to the Theory of Numbers". Oxford University Press.
[5] LeVeque, W. J. (2014). "Fundamentals of Number Theory". Courier Corporation.
[6] Mugassabi S. and Amsheri S. (2020) . ''The Multiplication and Division of Simple Continued Fractions''. IJISM International Journal of Innovation in Science and Mathematics 8 (3): (2020) 2347–9051.
[7] Mugassabi, Souad I., and A. S. Elmabrok. (2019). "The Power of Simple Continued Fractions." EPH-International Journal of Applied Science (ISSN: 2208-2182) 1.1: 824-833.
[8] Mugassabi S. and Mistiri F. (2015). ''The Elementary Arithmetic Operators of Continued Fractions''. Am-Euras. J. Sci.Res.,10 (5): 251 - 263.
[9] C.D. Olds. (1963). ''Continued Fractions''. 5th Edition, New York: Random House, Inc.
How to Cite
Mugassabi, S. I., & Abdullah, F. F. (2020). The Addition and Subtraction Operations for two Continued Fractions. GPH - International Journal of Mathematics, 2(07), 01-04. Retrieved from