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Anonymous No. 16208930

Why haven't I ever seen a math operation (o) like this:

[math]\frac{a}{b}o\frac{c}{d}=\frac{a+c}{b+d}[/math]

It would seem quite useful for calculating averages from fractions and whole numbers. The closest operator that I have seen to this is the "parallel operator" that adds together two numbers in the denominator and multiplies them in the numerator. You could say that the use of this operator is meaningless as any expression using it could just be expressed as [math]\frac{a+c}{b+d}[/math] without reference to the operator. But the same applies with the parallel operator where [math]a||b =\frac{ab}{a+b}[/math] could just be [math]\frac{ab}{a+b}[/math] without making reference to the operator. Is it just because we deem the parallel operator more useful for things like parallel circuits?