1Cademy - Find the Least Common Denominator (LCD) for the fractions $$\frac{3}{5}$$ and $$\frac{x}{8}$$. Explain how you calculated it.

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Adding $\frac{3}{5} + \frac{x}{8}$

Short Answer

Find the Least Common Denominator (LCD) for the fractions $\frac{3}{5}$ and $\frac{x}{8}$ . Explain how you calculated it.

Question: Find the Least Common Denominator (LCD) for the fractions $\frac{3}{5}$ and $\frac{x}{8}$ . 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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Updated 2026-09-18

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