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To solve \( \frac{6}{10} - \frac{2}{5} \), first convert \( \frac{2}{5} \) into a fraction with a common denominator, which is 10. So \( \frac{2}{5} = \frac{4}{10} \). Now, subtract: \( \frac{6}{10} - \frac{4}{10} = \frac{2}{10} \). Finally, simplify \( \frac{2}{10} \) to \( \frac{1}{5} \). So, \( \frac{6}{10} - \frac{2}{5} = \frac{1}{5} \). Math has evolved significantly over the centuries, originating from ancient civilizations such as the Mesopotamians and Egyptians, who used basic arithmetic for trade and astronomy. The concept of fractions arose over time, becoming essential to various fields including engineering and architecture, shaping how we perform calculations today. In real life, understanding fractions is vital for a variety of activities, such as cooking, where ingredients may need to be divided or multiplied, and in carpentry for measurements. Fractions also appear in financial literacy when calculating discounts or interest rates, making them a handy tool for everyday problem-solving!