A New Method of Dividing Fractions

Fractions, an extension of the number system, are difficult to understand, especially when it comes to division. The challenges are particularly evident in the conventional ‘invert and multiply’ method, which lacks conceptual meaning. The common denominator method, though less commonly used, fosters a deeper conceptual understanding. This paper discusses the common denominator method and its advantages. Additionally, a new method, the cross-multiplication method, is proposed. This method originates from the lowest common multiple approach and is justified with an illustration. The advantages of the cross-multiplication method over the conventional method are highlighted. Finally, recommendations are made to incorporate the new method into teaching while abandoning the ‘invert and multiply’ method, as it encourages memorization without conceptual understanding. Keywords: Fractions, denominator method, cross-multiplication method.