To subtract \(-4/12\) from \(-11 \frac{5}{6}\), we first need to express both numbers with a common denominator.
- Convert \(-11 \frac{5}{6}\) to an improper fraction:
\[ -11 \frac{5}{6} = -\left(11 \times 6 + 5\right)/6 = -\left(66 + 5\right)/6 = -71/6 \]
- Convert \(-4/12\) to a fraction with the same denominator as \(-71/6\). The denominator of \(-71/6\) is 6. Convert \(-4/12\):
\[ -4/12 = -1/3 = -2/6 \]
- Now, subtract \(-2/6\) from \(-71/6\):
\[ -71/6 - 2/6 = (-71 - 2)/6 = -73/6 \]
- If you prefer, convert \(-73/6\) back to a mixed number:
\[ -73/6 = -12 \frac{1}{6} \]
Thus, \(-11 \frac{5}{6} - 4/12 = -12 \frac{1}{6}\).