Respuesta :

[tex]12 \frac{1}{2} - 10 \frac{3}{8} = [/tex]
[tex] \frac{2*12+1}{2} - \frac{8*10+3}{8} = [/tex]
[tex] \frac{25}{2} - \frac{83}{8} = [/tex]

Different denominators, the least common multiple is made. Calculate the least common multiple of (2,8)  and replace the denominators:
LCM (least common multiple) of (2,8)
2,8 | 2
1, 4| 2
1, 2|2
1, 1|____ 2*2*2 = 8

[tex] \frac{25}{2} - \frac{83}{8} = [/tex]
[tex]\frac{8\div2*25}{8}- \frac{8\div8*83}{8} = [/tex]
[tex]\frac{4*25}{8} - \frac{1*83}{8} = [/tex]
[tex] \frac{100}{8} - \frac{83}{8} = \boxed{\frac{17}{8} }[/tex]

Answer:
[tex] \boxed{\frac{17}{8} }[/tex]