1. Which list shows these rational numbers ordered from least to grearest? \( \frac{7}{10}, \frac{5}{6}, \frac{3}{5} \) \( \begin{array}{ll}\text { A. } \frac{7}{10}, \frac{5}{6}, \frac{3}{5} & \text { (D) } \frac{3}{5}, \frac{7}{10}, \frac{5}{6} \\ \text { B. } \frac{3}{5}, \frac{5}{6}, \frac{7}{10} & \text { D. } \frac{5}{6}, \frac{7}{10}, \frac{3}{5}\end{array} \)

To determine the correct order of the rational numbers \( \frac{7}{10}, \frac{5}{6}, \frac{3}{5} \), one effective way is to convert them to decimal form. This gives us these approximations: \( \frac{3}{5} = 0.6 \), \( \frac{7}{10} = 0.7 \), and \( \frac{5}{6} \approx 0.833 \). Now, we can clearly see that the order from least to greatest is \( \frac{3}{5}, \frac{7}{10}, \frac{5}{6} \), which corresponds to option B! If you're aiming for a quick way to compare rational numbers, don't forget to find a common denominator! In this case, the denominators are 10, 6, and 5; the least common multiple is 30. Convert each fraction to have a denominator of 30: \( \frac{7}{10} = \frac{21}{30} \), \( \frac{5}{6} = \frac{25}{30} \), and \( \frac{3}{5} = \frac{18}{30} \). This way, you can easily see their relative sizes and avoid any messy decimal conversions!