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Mathematics
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2/5 + 2/7
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To add fractions, you need a common denominator.
What is the least common multiple of 5 and 7?
5?
is it 24/35
5 is not a multiple of 7. You need a number that is a multiple of both 5 and 7. One way to find the smallest such number is to list the first several multiples of each number, 5 and 7, and find the smallest that appears in both lists.
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Yes, 35 is the LCM. \( \dfrac{2}{5} + \dfrac{2}{7} \) \(= \dfrac{2}{5} \times \dfrac{7}{7} + \dfrac{2}{7} \times \dfrac{5}{5} \) \(= \dfrac{14}{35} + \dfrac{10}{35} \) \(= \dfrac{24}{35} \)
You are correct. 24/35 is the sum.
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