1. **State the problem:** Simplify the expression $$\frac{5}{6} - \frac{2}{3} \times \frac{3}{8}$$. 2. **Recall the order of operations:** Multiplication must be done before subtraction. 3. **Multiply the fractions:** $$\frac{2}{3} \times \frac{3}{8} = \frac{2 \times 3}{3 \times 8} = \frac{6}{24}$$. 4. **Simplify the product:** $$\frac{6}{24} = \frac{1}{4}$$ (dividing numerator and denominator by 6). 5. **Subtract the result from the first fraction:** $$\frac{5}{6} - \frac{1}{4}$$. 6. **Find a common denominator:** The least common denominator of 6 and 4 is 12. 7. **Convert fractions to have denominator 12:** $$\frac{5}{6} = \frac{10}{12}, \quad \frac{1}{4} = \frac{3}{12}$$. 8. **Perform the subtraction:** $$\frac{10}{12} - \frac{3}{12} = \frac{7}{12}$$. **Final answer:** $$\frac{7}{12}$$.