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To find the product of \( \frac{1}{6} \times \frac{2}{5} \), simply multiply the numerators and the denominators. This means you take \( 1 \times 2 = 2 \) for the numerator and \( 6 \times 5 = 30 \) for the denominator. So, the answer is \( \frac{2}{30} \), which can be simplified to \( \frac{1}{15} \). Now you’ve cracked the code of multiplying fractions! This skill will serve you well in various real-world scenarios, like cooking or budgeting, where you need to scale ratios and portions. For instance, if you're making a recipe that serves six and you want to adjust it for just one serving, knowing how to multiply fractions can help you get your ingredient amounts just right!