[tex] \frac{m - 11}{2} = \frac{ - 5}{4} [/tex]
Multiply through by the LCM: 8
[tex]8( \frac{m - 11}{2} ) = 8( \frac{ - 5}{4} )[/tex]
Divide and Simplify
[tex]4(m - 11) = 2( - 5) [/tex]
Open up the brackets
[tex]4m - 44 = - 10[/tex]
Collect your like terms
[tex]4m = - 10 + 44[/tex]
[tex]4m = 34 \\ \\ m = 34 \div 4 \\ \\ m = 8.5[/tex]