Let the other number be x .
[tex] - 5 \frac{2}{3} + x = - 8 \frac{1}{4} [/tex]
[tex] \frac{ - 13}{3} + x = \frac{ - 31}{ \: \: 4} [/tex]
[tex] \frac{ - 31}{ \: \: \: 4} - \frac{ - 13}{3} = x[/tex]
[tex] = \frac{ - 67}{ \: \: \: 6} [/tex]
[tex]∴ \: the \: other \: number \: is \: = \frac{ - 67}{ \: \: 6} [/tex]