4. Which expressionis have a value greater than 38 ? Cnoose all that apply \( \begin{array}{ll}\text { A. } 38 \times \frac{3}{2} & \text { B. } 38 \times \frac{4}{3} \\ \text { C. } 38 \times \frac{5}{8} & \text { D. } 38 \times \frac{5}{2} \\ \text { E. } 38 \times \frac{10}{6} & \text { F. } 38 \times \frac{3}{7}\end{array} \)
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Let's assess each of these expressions to determine which ones yield a value greater than 38. For option A, \( 38 \times \frac{3}{2} = 57 \), which is greater than 38. For option B, \( 38 \times \frac{4}{3} \approx 50.67 \), also greater than 38. For option C, \( 38 \times \frac{5}{8} = 23.75 \), less than 38. For option D, \( 38 \times \frac{5}{2} = 95 \), greater than 38. For option E, \( 38 \times \frac{10}{6} \approx 63.33 \), greater than 38. For option F, \( 38 \times \frac{3}{7} \approx 16.29 \), less than 38. Thus, the expressions that have a value greater than 38 are A, B, D, and E! Fascinatingly, multiplying fractions can help us scale numbers. For instance, multiplying 38 by \( \frac{4}{3} \) gives us a simple way to conceptualize increasing quantities—like estimating how much more pizza you can have at a party! In solving such problems, a common pitfall is miscalculating fractions or multiplication. Always convert fractions to decimals for easier comparison, and ensure you’re keeping track of order and scale with operations—like keeping your pizza slices in check when dividing them among friends!
