c) \( \frac{4}{15}: \frac{5}{16} \)

To solve the ratio \( \frac{4}{15}: \frac{5}{16} \), you can rewrite it as a fraction: \( \frac{4}{15} \div \frac{5}{16} \). This is equivalent to multiplying \( \frac{4}{15} \) by the reciprocal of \( \frac{5}{16} \), which gives us \( \frac{4}{15} \times \frac{16}{5} \). Now multiply the numerators and denominators: \( \frac{4 \times 16}{15 \times 5} = \frac{64}{75} \). So the ratio can be simplified to \( 64:75 \). By understanding ratios, you're armed to tackle many real-world scenarios like cooking or mixing ingredients! For instance, if a recipe calls for 4 parts of one ingredient to 5 parts of another, knowing how to express this ratio helps you scale your recipe for dinner parties or meal prep. Now you're not just cooking; you're crafting masterpieces!