1. The problem asks to find the reciprocal of 0.625. 2. The reciprocal of a number $x$ is given by the formula $$\text{reciprocal} = \frac{1}{x}$$. 3. Applying this formula, we calculate the reciprocal of 0.625 as $$\frac{1}{0.625}$$. 4. To simplify, convert 0.625 to a fraction: $$0.625 = \frac{625}{1000} = \frac{5}{8}$$. 5. So, $$\frac{1}{0.625} = \frac{1}{\frac{5}{8}}$$. 6. Dividing by a fraction is the same as multiplying by its reciprocal: $$\frac{1}{\frac{5}{8}} = 1 \times \frac{8}{5} = \frac{8}{5}$$. 7. Therefore, the reciprocal of 0.625 is $$\frac{8}{5} = 1.6$$. 8. Final answer: The reciprocal of 0.625 is 1.6.