@article{Bergstra_2020, title={Fractions in Transrational Arithmetic}, url={http://transmathematica.org/index.php/journal/article/view/19}, DOI={10.36285/tm.19}, abstractNote={<p>In transrational arithmetic each closed fraction may be written as a simple fraction. &nbsp;It is shown that unlike in involutive meadows, in transrational arithmetic open fractions cannot be &nbsp;written as a sum of simple fractions (i.e. fractions the numerator and denominator of which are polynomials). &nbsp;It is also not the case that each open fraction with a single variable can be written as a mixed fraction.</p>}, journal={Transmathematica}, author={Bergstra, Jan Aldert}, year={2020}, month={Jan.} }