Order the set of rational numbers from least tó greatest. \( -4.625,-5.2,-4 \frac{4}{5},-4 \frac{8}{11} \) a. \( -4.625,-4 \frac{8}{11},-4 \frac{4}{5},-5.2 \) O. b. \( -5.2,-4 \frac{4}{5},-4.625,-4 \frac{8}{11} \) c. \( -4 \frac{4}{5},-5.2,-4 \frac{8}{11},-4.625 \) d. \( -5.2,-4 \frac{4}{5},-4 \frac{8}{11},-4.625 \)

To sort the numbers, it’s helpful to convert all mixed numbers and fractions into decimal form. Here’s what we have: - \( -5.2 \) stays the same. - \( -4 \frac{4}{5} \) converts to \( -4.8 \). - \( -4 \frac{8}{11} \) is approximately \( -4.727 \). - \( -4.625 \) also stays the same. So, the decimal equivalents in order from least to greatest would be: - \( -5.2 \) - \( -4.8 \) (which is \( -4 \frac{4}{5} \)) - \( -4.727 \) (which is \( -4 \frac{8}{11} \)) - \( -4.625 \) By comparing these, we get: - First: \( -5.2 \) - Second: \( -4.8 \) - Third: \( -4.727 \) - Last: \( -4.625 \) Therefore, when ordered from least to greatest, the correct answer is: **d. \( -5.2,-4 \frac{4}{5},-4 \frac{8}{11},-4.625 \)**.