Rounding a percentage to the nearest multiple of $frac{1}{n}$
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If I take a percentage like $60%$ I can easily round it to a multiple of $frac{1}{n}$ where $n=2$ like this... $$60%doteq50%$$ $$50%=frac{1}{2}$$ ...or where $n=3$ like this. $$60%doteq 66%$$ $$66%doteq frac{2}{3}$$ But what if $n$ was a not-so-friendly number, like 43? How do I round $60%$ to the nearest multiple of a fraction like $frac{1}{43}$ without doing so much guessing and checking? Is there a consistent method for rounding $k%$ to the nearest multiple of $frac{1}{n}$ with minimal use of the guess and check method?
fractions percentages
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asked Jan 7 at 3:04
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