Question 10 Multiply. Write your answer in lowest terms. Leave your answer as an improper fraction or whole number, if necessary. \( \frac{4}{25} \cdot \frac{5}{6} \)

To multiply the fractions \( \frac{4}{25} \) and \( \frac{5}{6} \), simply multiply the numerators together and the denominators together: Numerator: \( 4 \times 5 = 20 \) Denominator: \( 25 \times 6 = 150 \) This gives you \( \frac{20}{150} \). Now, simplify this fraction by finding the greatest common divisor (GCD) of 20 and 150, which is 10. Divide both the numerator and the denominator by 10: \( \frac{20 \div 10}{150 \div 10} = \frac{2}{15} \) So, the final answer in lowest terms is \( \frac{2}{15} \). Now, let's sprinkle in some extra fun facts! Did you know that fractions have been around for a very long time? Ancient Egyptians employed fractions as early as 3000 BC! They used a system that primarily dealt with unit fractions, which are fractions with a numerator of 1. So, when multiplying fractions, you're actually participating in a practice that has its roots in one of the earliest civilizations! Also, thinking about real-world applications, fractions are everywhere! From cooking recipes to carpentry, knowing how to multiply fractions allows us to scale things up. For example, if you have a recipe that serves 4 and you want to double it, you multiply all ingredient amounts by 2 (or the corresponding fractions) to ensure everyone gets a serving. It’s like creating delicious math magic!