Case Study

Add and simplify the fractions. Show the sum before and after simplifying.

Case context: 518+718\frac{5}{18}+\frac{7}{18}

Question: Add and simplify the fractions. Show the sum before and after simplifying.

Sample answer: Add the numerators: 5+718=1218\frac{5+7}{18}=\frac{12}{18}. Divide the numerator and denominator by the common factor 66: 1218=23\frac{12}{18}=\frac{2}{3}.

Key points:

  • Add the numerators to get 1218\frac{12}{18}.
  • Use the common factor 66.
  • Simplify to 23\frac{2}{3}.

Rubric: Full credit requires 1218\frac{12}{18}, the common factor 66, and the simplified answer 23\frac{2}{3}.

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Updated 2026-08-11

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