Essay

Explain the steps to add 712\frac{7}{12} and 518\frac{5}{18}. State the least common denominator (LCD) and the final sum.

Question: Explain the steps to add 712\frac{7}{12} and 518\frac{5}{18}. State the least common denominator (LCD) and the final sum.

Sample answer: First, find the LCD of 12 and 18, which is 36. Rewrite the fractions with the common denominator as 2136\frac{21}{36} and 1036\frac{10}{36}. Finally, add the numerators together to get the final sum of 3136\frac{31}{36}.

Key points:

  • Identify that the least common denominator (LCD) is 3636.
  • Explain rewriting the fractions as 2136\frac{21}{36} and 1036\frac{10}{36}.
  • State the final sum is 3136\frac{31}{36}.

Rubric: A correct response must identify the LCD as 36, explain how to rewrite the fractions with this common denominator, and state the final sum of 3136\frac{31}{36}.

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Updated 2026-06-20

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