• itslilith@lemmy.blahaj.zone
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      9 months ago

      Fractions and division aren’t the same thing.

      Are you for real? A fraction is a shorthand for division with stronger (and therefore less ambiguous) order of operations

      • Are you for real?

        Yes, I’m a Maths teacher.

        A fraction is a shorthand for division with stronger (and therefore less ambiguous) order of operations

        I added emphasis to where you nearly had it.

        ½ is a single term. 1÷2 is 2 terms. Terms are separated by operators (division in this case) and joined by grouping symbols (fraction bars, brackets).

        1÷½=2

        1÷1÷2=½ (must be done left to right)

        Thus 1÷2 and ½ aren’t the same thing (they are equal in simple cases, but not the same thing), but ½ and (1÷2) are the same thing.