1. **State the problem:** Calculate the value of $12 \frac{7}{8} - 6$. 2. **Convert the mixed number to an improper fraction:** $$12 \frac{7}{8} = \frac{12 \times 8 + 7}{8} = \frac{96 + 7}{8} = \frac{103}{8}$$ 3. **Rewrite the subtraction with fractions:** $$\frac{103}{8} - 6 = \frac{103}{8} - \frac{6 \times 8}{8} = \frac{103}{8} - \frac{48}{8}$$ 4. **Subtract the fractions:** $$\frac{103}{8} - \frac{48}{8} = \frac{103 - 48}{8} = \frac{55}{8}$$ 5. **Convert the improper fraction back to a mixed number:** Divide 55 by 8: $$55 \div 8 = 6 \text{ remainder } 7$$ So, $$\frac{55}{8} = 6 \frac{7}{8}$$ **Final answer:** $$12 \frac{7}{8} - 6 = 6 \frac{7}{8}$$