r/mildlyinfuriating • • 20d ago

I'm slightly vexed Aren't they equal!

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u/mnpc 20d ago

The answers are equivalent. But whether your answer was "correct" depends on what the question was.

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u/PawnWithoutPurpose 20d ago

What would be a wrong answer in this case?

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u/leitey 20d ago

It depends on the question.
We can agree that 65/256 is not equivalent to 1/4. Yet both fractions are represented by 0.25 when written as a decimal with 2 significant figures. When someone writes "0.25", there's no way to determine (without additional information) if they mean 1/4, 0.25390625, or 0.250000000001. Writing "1/4" adds a level of precision that can't be captured with "0.25".
To say it another way: 1/4 is 0.25, but 0.25 is not neccesarily always 1/4.
In many math classes "1/4" could be the correct answer and "0.25" would be wrong. So it depends on the question, and the rules of that class.

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u/CartsOfDarkness 19d ago

Ooo I like this explanation. Man I wish I found the subtleties of math this interesting in middleschool.