8-3 5/12

To simplify the expression \( 8 - 3 \frac{5}{12} \), follow these steps:

1. Convert the mixed number \( 3 \frac{5}{12} \) to an improper fraction:

   \[ 3 \frac{5}{12} = \left(3 \times 12 + 5\right) / 12 = \left(36 + 5\right) / 12 = \frac{41}{12} \]

2. Now, rewrite the number \( 8 \) as a fraction with a denominator of \( 12 \):

   \[ 8 = \frac{8 \times 12}{12} = \frac{96}{12} \]

3. Now, subtract \( \frac{41}{12} \) from \( \frac{96}{12} \):

   \[ \frac{96}{12} - \frac{41}{12} = \frac{96 - 41}{12} = \frac{55}{12} \]

4. Finally, convert \( \frac{55}{12} \) back to a mixed number:

   \[ 55 \div 12 = 4 \quad \text{with a remainder of } 7 \] Thus, \( \frac{55}{12} = 4 \frac{7}{12} \)

So, \( 8 - 3 \frac{5}{12} = 4 \frac{7}{12} \).