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# What is the difference between 126 1/4 and 78 2/3?

First thing you have to find LCD ( lowest common denominator) 12 is the lowest one: $126\frac{1}{4}=126\frac{3}{12}$ $78\frac{2}{3}=78\frac{8}{12}$ now its all about substraction: $126\frac{3}{12}-78\frac{8}{12}=47\frac{7}{12}$ so the difference is $47\frac{7}{12}$ or you can do it in a bit diffrent way $126\frac{1}{4}=126\frac{3}{12}=\frac{126*12+3}{12}=\frac{1515}{12}$ $78\frac{2}{3}=78\frac{8}{12}=\frac{78*12+8}{12}=\frac{944}{12}$ substraction again: $\frac{1515}{12}-\frac{944}{12}=\frac{571}{12}=47\frac{7}{12}$