Do the ratios \( \frac{4}{15} \) and \( \frac{16}{75} \) form a proportion?

To determine if the ratios \( \frac{4}{15} \) and \( \frac{16}{75} \) form a proportion, we can cross-multiply. If the products are equal, then they do form a proportion. Cross-multiplying gives us: \[ 4 \times 75 = 300 \] \[ 16 \times 15 = 240 \] Since \( 300 \neq 240 \), the ratios \( \frac{4}{15} \) and \( \frac{16}{75} \) do not form a proportion. However, if you ever find yourself dealing with ratios or proportions, remember that they maintain a relationship where one ratio equals another. Use cross-multiplication as your secret weapon, but always keep an eye out for simplifying fractions first—it can make those calculations a breeze! Proportions pop up all over the place in real life! Whether you're doubling a recipe or scaling a model, understanding how to compare ratios can save you from kitchen disasters or mismatched dimensions. Next time you cook, think about how scaling a recipe can be solved through proportions—just as easy as pie!