Python: (Math) Fractions with Different Denominators

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Jason
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\(\dfrac{old\,\,numerator}{old\,\,unique\,\,denominator} \pm\)

\(\dfrac{old\,\, numerator}{old\,\,unique\,\, denominator} ...\pm\,\, n + 1\)

\(\longrightarrow\)

\(\dfrac{LCM\,\,of\,\,old\,\,unique\,\,denominators/old\,\,unique\,\, denominator * old\,\,numerator}{LCM\,\,of\,\,old\,\,unique\,\,denominators} \pm\)

\(\dfrac{LCM\,\,of\,\,old\,\,unique\,\,denominators/old\,\,unique\,\, denominator * old\,\,numerator}{LCM\,\,of\,\,old\,\,\,\,unique\,\,denominators}... \pm \,\, n + 1\)

\(\longrightarrow\)

\(\dfrac{midway\,\,numerator}{LCM\,\,of\,\,old\,\, unique\,\, denominators} \pm \dfrac{midway\,\,numerator}{LCM\,\,of\,\,old\,\,unique\,\,denominators}...\pm\,\,n + 1 = \)

\(\dfrac{new\,\,numerator}{LCM\,\,of\,\,old\,\,unique\,\,denominators}\)

Ex.

\(\dfrac{2}{4} - \dfrac{3}{6} \longrightarrow\)

\(\dfrac{12/4 * 2}{12} - \dfrac{12/6 * 3}{12} \longrightarrow \dfrac{6}{12} - \dfrac{6}{12} = 0\)
 

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