5 I bought obout \( \frac{1}{2} \) pound of meot. Which of the following did I most likely purchose? \( \frac{7}{8} \) pound turkey \( \frac{7}{12} \) pound ham

To determine which meat you most likely purchased, we need to compare the weights of the options given with the \( \frac{1}{2} \) pound of meat you bought. 1. **Convert \( \frac{1}{2} \) pound to a fraction with a common denominator**: - The common denominator for \( \frac{1}{2} \), \( \frac{7}{8} \), and \( \frac{7}{12} \) can be found. The least common multiple of the denominators (2, 8, and 12) is 24. 2. **Convert each fraction**: - \( \frac{1}{2} = \frac{12}{24} \) - \( \frac{7}{8} = \frac{21}{24} \) - \( \frac{7}{12} = \frac{14}{24} \) Now we can compare the fractions: - \( \frac{12}{24} \) (which is \( \frac{1}{2} \)) - \( \frac{21}{24} \) (which is \( \frac{7}{8} \)) - \( \frac{14}{24} \) (which is \( \frac{7}{12} \)) 3. **Comparison**: - \( \frac{12}{24} < \frac{14}{24} < \frac{21}{24} \) From this comparison, we can see that \( \frac{1}{2} \) pound is less than \( \frac{7}{12} \) pound and less than \( \frac{7}{8} \) pound. Thus, the meat you most likely purchased is **\( \frac{7}{12} \) pound ham**, as it is the closest option to \( \frac{1}{2} \) pound without exceeding it.