(4 1/2)/(2 2/3) = (9/2)/(8/3)
.. = (9/2)*(3/8) . . . . . . . . . . . . . . the 3rd selection
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A mixed number is converted to an improper fraction by
.. a +b/c = (ac +b)/c
Of course, dividing by a fraction is the same as multiplying by its inverse.
.. (a/b) / (c/d) = (a/b) * (d/c)