1. The problem asks which fraction corresponds to position A on a number line between 0 and 1. 2. The options given are $\frac{1}{5}$, $\frac{2}{5}$, $\frac{4}{20}$, and $\frac{2}{10}$. 3. Position A is approximately one-fifth from 0 towards 1. This means the fraction at A should be equivalent to $\frac{1}{5}$. 4. Simplify the fractions to compare: - $\frac{2}{5}$ is already in simplest form and equals 0.4. - $\frac{4}{20}$ simplifies to $\frac{4\div4}{20\div4} = \frac{1}{5}$. - $\frac{2}{10}$ simplifies to $\frac{1}{5}$. 5. So $\frac{4}{20}$ and $\frac{2}{10}$ simplify to $\frac{1}{5}$ which matches position A. 6. Since the fraction requested is the simplified form at position A, the answer is $\frac{1}{5}$. **Final answer:** $\boxed{\frac{1}{5}}$