14. In Missy's sports-card collection, \( \frac{3}{4} \) of the cards are baseball cards. In Frank's collection, \( \frac{8}{12} \) are baseball cards. Frank says they have the same fraction of baseball oards. Is he correct?

To determine if Frank is correct that they have the same fraction of baseball cards, we can convert Frank's fraction into simplest form. The fraction \( \frac{8}{12} \) simplifies to \( \frac{2}{3} \) when we divide both numerator and denominator by 4. Missy's fraction is \( \frac{3}{4} \). Now we compare \( \frac{3}{4} \) to \( \frac{2}{3} \). To compare them, we can find a common denominator, which is 12. Converting \( \frac{3}{4} \) gives us \( \frac{9}{12} \) and \( \frac{2}{3} \) gives us \( \frac{8}{12} \). Comparing these, \( \frac{9}{12} > \frac{8}{12} \), meaning Missy has a larger fraction of baseball cards. So, Frank's claim is incorrect! To make it even more fun, think of baseball cards as the ultimate scorecard. Missy's collection is like hitting a home run with 75% of her cards being baseball stars, while Frank only gets a solid second base hit at 66.6%. In the world of sports cards, Missy definitely takes the trophy!