3. \( \frac{2}{7}+\frac{6}{10}= \)
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To solve \( \frac{2}{7}+\frac{6}{10} \), we first need a common denominator. The least common multiple of 7 and 10 is 70. We convert the fractions: \( \frac{2}{7} = \frac{20}{70} \) and \( \frac{6}{10} = \frac{42}{70} \). Now we can add them: \( \frac{20}{70} + \frac{42}{70} = \frac{62}{70} \). Simplifying gives us \( \frac{31}{35} \). To add fractions smoothly, it's essential to find a common denominator; however, a common mistake is forgetting to simplify the final result. Always double-check if your fraction can be simplified further before concluding your answer. Simplifying ensures you're presenting the cleanest version of the fraction, which is more professional and easier to understand!