Lemma
MediumDiophantine equations
#1778 · Number Theory · Diophantine equations

Fractional Difference Problem

Find two proper fractions in their lowest terms having and for their denominators and such that their difference is rac{1}{24}.

~10 minAnswer checked instantlyDiophantine equationsProper fractions

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVI. Indeterminate Equations of the First Degree, Examples XXVI, No. 7

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Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).