1. **State the problem:** Simplify the expression $7 - \frac{5}{6}$. 2. **Recall the formula:** To subtract a fraction from a whole number, convert the whole number to a fraction with the same denominator. 3. **Convert 7 to a fraction with denominator 6:** $$7 = \frac{7 \times 6}{6} = \frac{42}{6}$$ 4. **Subtract the fractions:** $$\frac{42}{6} - \frac{5}{6} = \frac{42 - 5}{6} = \frac{37}{6}$$ 5. **Convert the improper fraction to a mixed number:** Divide 37 by 6: $$37 \div 6 = 6 \text{ remainder } 1$$ So, $$\frac{37}{6} = 6 \frac{1}{6}$$ 6. **Final answer:** $$7 - \frac{5}{6} = \frac{37}{6} = 6 \frac{1}{6}$$