11. Which fraction is greater than \( \frac{2}{3} \) ? \( \begin{array}{llll}\text { A } \frac{1}{12} & \text { B } \frac{2}{6} & \text { C } \frac{5}{12} & \text { D } \frac{6}{8}\end{array} \)

To determine which fraction is greater than \( \frac{2}{3} \), first convert \( \frac{2}{3} \) to decimal form, which is approximately 0.67. Now, let's check the options: - A: \( \frac{1}{12} \) is approximately 0.083. - B: \( \frac{2}{6} = \frac{1}{3} \) is approximately 0.33. - C: \( \frac{5}{12} \) is approximately 0.417. - D: \( \frac{6}{8} = \frac{3}{4} \) is exactly 0.75, which is greater than 0.67. So, the answer is D: \( \frac{6}{8} \). Checking fractions against a common denominator is a handy technique! For instance, if you wanted to compare fractions like \( \frac{2}{3} \) and \( \frac{6}{8} \), you could convert both to have a common denominator of 24. Thus, \( \frac{2}{3} \) becomes \( \frac{16}{24} \) while \( \frac{6}{8} \) turns into \( \frac{18}{24} \). This method makes comparisons super simple and clear! When comparing fractions, it’s essential to remember that converting to decimals can clarify which is larger. However, ensuring you don’t overlook equivalent fractions is vital too! For instance, \( \frac{6}{8} \) simplifies to \( \frac{3}{4} \), a more common format that draws more immediate clarity about its relationship to other fractions like \( \frac{2}{3} \). This practice saves you from potential mistakes!