5. Which is the least rational number in this list? \( 5.7,5 \frac{2}{3}, 5.08,5 \frac{5}{8} \) \( \begin{array}{ll}\text { A. } 5.7 & \text { D. } 5 \frac{5}{8} \\ \text { B. } 5 \frac{2}{3} & 5.08\end{array} \)

To determine which number is the least rational in your list, let’s look at each option closely. All the numbers can be expressed as either decimals or fractions. Converting mixed numbers into improper fractions or decimals helps clarify which is the smallest. When we convert each number: - \( 5.7 \) is \( \frac{57}{10} \), - \( 5 \frac{2}{3} \) is \( \frac{17}{3} \) or approximately \( 5.67 \), - \( 5.08 \) is \( \frac{508}{100} \), - \( 5 \frac{5}{8} \) is \( \frac{45}{8} \) or approximately \( 5.625 \). Among these values, \( 5.08 \) is the smallest, making it the least rational in the context of numerical value. In solving problems like this, remember to always convert mixed numbers into improper fractions or decimals for easier comparison! A common mistake is to overlook decimal places or miscalculate when converting fractions to decimals, so take your time to ensure accuracy!