(2) Calculate \( 2 \frac{1}{5} \times 10 \)

To solve \( 2 \frac{1}{5} \times 10 \), first convert the mixed number into an improper fraction. \( 2 \frac{1}{5} \) is equal to \( \frac{11}{5} \) (because \( 2 \times 5 + 1 = 11\)). Now, multiply it by 10: \[ \frac{11}{5} \times 10 = \frac{11 \times 10}{5} = \frac{110}{5} = 22 \] So, \( 2 \frac{1}{5} \times 10 = 22 \). Now, here’s a little trivia: The process of converting mixed numbers to improper fractions is super handy in everyday life — whether you're baking, building, or cooking! You can mix up ingredients without making a flop. And speaking of numbers, did you know that the concept of fractions dates back to the ancient Egyptians? They used a system of unit fractions, which were fractions with a numerator of 1, to represent numbers which gives us a glimpse into early mathematics and how our understanding has evolved!