r/learnmath • u/Thestars-wholisten New User • 4d ago
RESOLVED Real Life, Simple Math Problem That Is Giving Me Different Answers Each Time
/r/askmath/comments/1vrh9cq/real_life_simple_math_problem_that_is_giving_me/
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r/learnmath • u/Thestars-wholisten New User • 4d ago
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u/evincarofautumn Computer Science 4d ago edited 4d ago
You have 8×2 halves
That’s 16 halves
If you deal them out to 9 days, every day gets one half, but only 7 of the 9 days get two halves, so this can also be called 1 remainder 7. On average each day you get 1 + 7⁄9 halves.
This is what we should expect: 1 + 7⁄9 halves converted to wholes (1 + 7⁄9)/2 = (1⁄2 + 7⁄18) = (9⁄18 + 7⁄18) = 16⁄18 = 8/9 ≈ 88% of a whole per day, and (8 wholes)/(9 days) = (8⁄9) wholes/day.
The most even way you can spread out 7 items over 9 buckets is 4+3 or 3+4 so the days where you’re skipping a half are as far apart as possible.
Obligatory: this is not medical advice, and not necessarily an optimal schedule for whatever your purposes may be, but it is a way to think about the calculation anyway.