1. **Stating the problem:** We need to evaluate the expression $$\frac{1}{5} \times \frac{5}{6}$$ based on the shaded portions of the circles. 2. **Understanding the expression:** The expression involves multiplying two fractions: $$\frac{1}{5}$$ and $$\frac{5}{6}$$. 3. **Formula for multiplying fractions:** To multiply two fractions $$\frac{a}{b}$$ and $$\frac{c}{d}$$, multiply the numerators and denominators: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ 4. **Applying the formula:** $$\frac{1}{5} \times \frac{5}{6} = \frac{1 \times 5}{5 \times 6} = \frac{5}{30}$$ 5. **Simplifying the fraction:** We can cancel the common factor 5 in numerator and denominator: $$\frac{\cancel{5}}{\cancel{30}} = \frac{1}{6}$$ 6. **Final answer:** $$\frac{1}{5} \times \frac{5}{6} = \frac{1}{6}$$ This means one-fifth of five-sixths equals one-sixth.