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How to reduce a list of fractions

I have a list of integers. I want to divide (n+1) by n. I can do this with no problem, but I can't get the resulting fractions in reduced form. My list has 50 items, but I'll only do a list of 5 here to avoid spamming.

sage:a = [6198089008491993412800, 3099044504245996706400, 2066029669497331137600, 2324283378184497529800, 1239617801698398682560]

sage:c = [(n + 1)/n for n in a]

sage:print (c)

[6198089008491993412801/6198089008491993412800, 3099044504245996706401/3099044504245996706400, 2066029669497331137601/2066029669497331137600, 2324283378184497529801/2324283378184497529800, 1239617801698398682561/1239617801698398682560]

I don't know why SM doesn't automatically reduce these fractions, but since it doesn't, I've tried multiplying by 1 and using reduce() and simplify(), and have searched everywhere I could think of for an answer, but nothing works. I apologize in advance for asking such a rudimentary question.

How to reduce a list of fractions

I have a list of integers. I want to divide (n+1) by n. I can do this with no problem, but I can't get the resulting fractions in reduced form. My list has 50 items, but I'll only do a list of 5 here to avoid spamming.

sage:a

a = [6198089008491993412800, 3099044504245996706400, 2066029669497331137600, 2324283378184497529800, 1239617801698398682560]

1239617801698398682560]

sage:c c = [(n + 1)/n for n in a]

a]

sage:print (c)

print (c)

[6198089008491993412801/6198089008491993412800, 3099044504245996706401/3099044504245996706400, 2066029669497331137601/2066029669497331137600, 2324283378184497529801/2324283378184497529800, 1239617801698398682561/1239617801698398682560]

I don't know why SM Sage doesn't automatically reduce these fractions, but since it doesn't, I've tried multiplying by 1 and using reduce() and simplify(), and have searched everywhere I could think of for an answer, but nothing works. I apologize in advance for asking such a rudimentary question.

How to reduce a list of fractions

I have a list of integers. I want to divide (n+1) by n. I can do this with no problem, but I can't get the resulting fractions in reduced form. My list has 50 items, but I'll only do a list of 5 here to avoid spamming.

sage: a = [6198089008491993412800, 3099044504245996706400, 2066029669497331137600, 2324283378184497529800, 1239617801698398682560]

sage: c = [(n + 1)/n for n in a]

sage: print (c)

[6198089008491993412801/6198089008491993412800, 3099044504245996706401/3099044504245996706400, 2066029669497331137601/2066029669497331137600, 2324283378184497529801/2324283378184497529800, 1239617801698398682561/1239617801698398682560]

1239617801698398682561/1239617801698398682560]

I don't know why Sage doesn't automatically reduce these fractions, but since it doesn't, I've tried multiplying by 1 and using reduce() and simplify(), and have searched everywhere I could think of for an answer, but nothing works. I apologize in advance for asking such a rudimentary question.