The equation is [tex]2\frac{1}{8} - \frac{1}{2}[/tex] .
1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)
The new equation is [tex]\frac{17}{8} -\frac{4}{8}[/tex] . Subtract the numerators.
17 - 4 = 13 or 13/8
The improper fraction [tex]\frac{13}{8}[/tex] simplifies to [tex]1\frac{5}{8}[/tex] .
[tex]1\frac{5}{8}[/tex]
Hope this helps :)