Compare each fraction to the benchmark. \( \frac{2}{3} \square \frac{1}{2} \quad \frac{2}{5} \square \frac{1}{2} \) Now, use this information to compare the two fractions. \( \frac{2}{3} \square \frac{2}{5} \)

To compare \( \frac{2}{3} \) and \( \frac{1}{2} \), we can convert \( \frac{2}{3} \) to a decimal, which is approximately 0.67, while \( \frac{1}{2} \) is 0.50. So, \( \frac{2}{3} > \frac{1}{2} \). For \( \frac{2}{5} \) compared to \( \frac{1}{2} \), \( \frac{2}{5} \) equals 0.40, making \( \frac{2}{5} < \frac{1}{2} \). Now, comparing \( \frac{2}{3} \) to \( \frac{2}{5} \), since \( \frac{2}{3} \) is larger than \( \frac{1}{2} \) and \( \frac{2}{5} \) is smaller than \( \frac{1}{2} \), we can conclude that \( \frac{2}{3} > \frac{2}{5} \). Want to boost your fraction-sorting skills? Practice with lots of different fractions! Try making flashcards with different fractions on one side and their decimal equivalents on the other. This fun method will help you visualize and remember which fractions are larger or smaller. Over time, your fraction comparison skills will become second nature! Remember, when comparing fractions, finding a common denominator can help if you’re struggling with direct comparisons. For example, for \( \frac{2}{3} \) and \( \frac{2}{5} \), the least common denominator is 15. Convert both fractions: \( \frac{2}{3} = \frac{10}{15} \) and \( \frac{2}{5} = \frac{6}{15} \). It becomes much easier to see that \( \frac{10}{15} > \frac{6}{15} \). Happy fraction comparing!