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Find the Least Common Denominator (LCD) for the fractions and . Explain how you calculated it.
Question: Find the Least Common Denominator (LCD) for the fractions and . Explain how you calculated it.
Sample answer: The LCD is 40. Since the denominators 5 and 8 share no common prime factors, you calculate the LCD by multiplying them together (5 * 8 = 40).
Key points:
- Identify the denominators as 5 and 8.
- State that the LCD is 40.
- Explain that the LCD is calculated by multiplying 5 and 8 because they share no common prime factors.
Rubric: A correct answer states that the LCD is 40 and explains that it is found by multiplying the denominators 5 and 8.
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