Rewriting as fractions or any negatives if necessary: 1/7, 3/8, 9/12, 29/8, -12/16
The least common denominator (LCD) is: 336.
Rewriting as equivalent fractions with the LCD: 48/336, 126/336, 252/336, 1218/336, -252/336
Ordering these fractions by the numerator: -252/336 < 48/336 < 126/336 < 252/336 < 1218/336
Therefore, the order of your input is: -12/16 < 1/7 < 3/8 < 9/12 < 29/8