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WWGD

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## Main Question or Discussion Point

Hi All, wondering if this below has been developed already:

There is a context in which adding fractions by the rule : a/b + c/d = (a+c)/(b+d) : say we are considering

the grade in a course where a lot of exams are administered, and the total is considered over, say 1000. Then, if we get 90/100 in one quiz and 47/50 , the total average so far is given by (90+47)/(100+50) , not the standard way of adding fractions. Just curious if there is some known structure in Mathematics using this as an operation.

Thanks.

There is a context in which adding fractions by the rule : a/b + c/d = (a+c)/(b+d) : say we are considering

the grade in a course where a lot of exams are administered, and the total is considered over, say 1000. Then, if we get 90/100 in one quiz and 47/50 , the total average so far is given by (90+47)/(100+50) , not the standard way of adding fractions. Just curious if there is some known structure in Mathematics using this as an operation.

Thanks.