1Cademy - Describe the three steps to add these fractions and simplify your answer. Include the unsimplified sum, the common factor you remove, and the final simplified fraction.

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Adding $\frac{5}{18} + \frac{7}{18}$

Case Study

Describe the three steps to add these fractions and simplify your answer. Include the unsimplified sum, the common factor you remove, and the final simplified fraction.

Case context: Add the fractions: $\frac{5}{18} + \frac{7}{18}$ .

Question: Describe the three steps to add these fractions and simplify your answer. Include the unsimplified sum, the common factor you remove, and the final simplified fraction.

Sample answer: Step 1: Add the numerators to get $\frac{12}{18}$ . Step 2: Find the common factor of $12$ and $18$ , which is $6$ . Step 3: Divide the top and bottom by $6$ to get the simplified fraction $\frac{2}{3}$ .

Key points:

State the unsimplified sum of $\frac{12}{18}$ .
Identify the common factor of $6$ .
Provide the final simplified fraction $\frac{2}{3}$ .

Rubric: Full credit requires stating the unsimplified sum ( $\frac{12}{18}$ ), correctly identifying the common factor ( $6$ ), and providing the completely simplified fraction ( $\frac{2}{3}$ ).

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Updated 2026-06-20

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