Do the ratios \( \frac{2}{4} \) and \( \frac{3}{7} \) form a proportion? yes no

To determine if the ratios \( \frac{2}{4} \) and \( \frac{3}{7} \) form a proportion, we can cross-multiply. If \( \frac{2}{4} = \frac{3}{7} \), then \( 2 \times 7 \) should equal \( 3 \times 4 \). This gives us: \( 2 \times 7 = 14 \) and \( 3 \times 4 = 12 \). Since \( 14 \neq 12 \), the ratios do not form a proportion. However, don't worry if you're unsure about proportions; they pop up everywhere, like in recipes! When you want to double a recipe, you keep your ingredient ratios consistent. Just think of keeping those tasty flavors balanced as you scale up your cooking adventures. And speaking of proportions, a common mistake is mixing up the cross-products or the terms! Always remember that it's essential to cross-multiply correctly and check if the products match. If they don’t, you’re likely dealing with two separate ratios that just don’t vibe together!