12,75-6 11/12

To solve \( 12.75 - 6 \frac{11}{12} \), let's first convert everything into a common format.

1. Convert \( 12.75 \) into a fraction: \[ 12.75 = \frac{1275}{100} = \frac{51}{4} \quad (\text{since } 12.75 = 12 + 0.75 = 12 + \frac{3}{4} = \frac{48}{4} + \frac{3}{4} = \frac{51}{4}) \]

2. Convert \( 6 \frac{11}{12} \) into an improper fraction: \[ 6 \frac{11}{12} = 6 + \frac{11}{12} = \frac{72}{12} + \frac{11}{12} = \frac{83}{12} \]

Now we have: \[ 12.75 - 6 \frac{11}{12} = \frac{51}{4} - \frac{83}{12} \]

3. Find a common denominator to subtract these fractions. The least common multiple (LCM) of 4 and 12 is 12.

4. Convert \( \frac{51}{4} \) to have a denominator of 12: \[ \frac{51}{4} = \frac{51 \times 3}{4 \times 3} = \frac{153}{12} \]

5. Now we can perform the subtraction: \[ \frac{153}{12} - \frac{83}{12} = \frac{153 - 83}{12} = \frac{70}{12} \]

6. Simplify \( \frac{70}{12} \): \[ \frac{70 \div 2}{12 \div 2} = \frac{35}{6} \]

Therefore, \( 12.75 - 6 \frac{11}{12} = \frac{35}{6} \).

If needed, you can convert \( \frac{35}{6} \) back into a mixed number: \[ \frac{35}{6} = 5 \frac{5}{6} \]

So, the solution is: \[ \frac{35}{6} \text{ or } 5 \frac{5}{6} \]