1. **Stating the problem:** Simplify the expression $$\frac{16}{35} \times 0.25 \times 35$$. 2. **Convert decimals to fractions:** Note that $$0.25 = \frac{1}{4}$$. 3. **Rewrite the expression using fractions:** $$\frac{16}{35} \times \frac{1}{4} \times 35$$ 4. **Multiply the fractions step-by-step:** First multiply $$\frac{16}{35} \times \frac{1}{4} = \frac{16 \times 1}{35 \times 4} = \frac{16}{140}$$. 5. **Simplify the fraction $$\frac{16}{140}$$:** Divide numerator and denominator by their greatest common divisor 4: $$\frac{\cancel{16}^{4} \times 4}{\cancel{140}^{4} \times 35} = \frac{4}{35}$$. 6. **Now multiply $$\frac{4}{35} \times 35$$:** $$\frac{4}{35} \times 35 = \frac{4 \times \cancel{35}}{\cancel{35}} = 4$$. **Final answer:** $$4$$