Answer :

Scryt
First thing you have to find LCD ( lowest common denominator) 12 is the lowest one:

[tex]126\frac{1}{4}=126\frac{3}{12}[/tex]

[tex]78\frac{2}{3}=78\frac{8}{12}[/tex]

now its all about substraction:

[tex]126\frac{3}{12}-78\frac{8}{12}=47\frac{7}{12}[/tex]

so the difference is [tex]47\frac{7}{12}[/tex]

or you can do it in a bit diffrent way

[tex]126\frac{1}{4}=126\frac{3}{12}=\frac{126*12+3}{12}=\frac{1515}{12}[/tex]

[tex]78\frac{2}{3}=78\frac{8}{12}=\frac{78*12+8}{12}=\frac{944}{12}[/tex]

substraction again:

[tex]\frac{1515}{12}-\frac{944}{12}=\frac{571}{12}=47\frac{7}{12}[/tex]

Answer:

47 7/12

Step-by-step explanation: