2. Sandra used benchmark fractions to describe some insects she collected. She said the ladybug is about \( \frac{1}{2} \) inch long, and the cricket is about \( \frac{2}{3} \) inch long. Which insect is longer? (8) Assessment Practice

To determine which insect is longer, we first need to compare the two fractions. Since \( \frac{2}{3} \) is greater than \( \frac{1}{2} \) when we find a common denominator (which is 6), we see that \( \frac{1}{2} \) converts to \( \frac{3}{6} \) and \( \frac{2}{3} \) converts to \( \frac{4}{6} \). So the cricket, at \( \frac{2}{3} \) inch long, is longer than the ladybug, which is only \( \frac{1}{2} \) inch long! Comparing fractions is often done by finding common denominators or converting them to decimals. Remember, with smaller fractions like these, it can be helpful to visualize them pie charts or number lines. It makes it clear which fraction is larger and adds a visual component to your fraction comparisons.