Math Problem Statement
Solution
The problem is asking to add , simplify the result, and express it as a mixed number if appropriate.
Step 1: Find a common denominator.
The least common denominator (LCD) of 9 and 6 is 18.
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Convert to a fraction with denominator 18:
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Convert to a fraction with denominator 18:
Step 2: Add the fractions.
Now that both fractions have the same denominator, we can add them:
Step 3: Check if the result can be simplified or written as a mixed number.
The fraction is already in its simplest form and cannot be converted into a mixed number, as the numerator is less than the denominator.
Final Answer:
The sum is , so the correct option is the first one: .
Would you like any further details on the steps? Here are some follow-up questions:
- How do you find the least common denominator (LCD)?
- Why is in its simplest form?
- What is the process for converting improper fractions into mixed numbers?
- Can be simplified before adding it to ?
- What are the rules for adding fractions with different denominators?
Tip: Always simplify fractions before finalizing your answer—it makes calculations easier!
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Math Problem Analysis
Mathematical Concepts
Addition of Fractions
Least Common Denominator (LCD)
Simplification
Formulas
LCD of two fractions: LCD(a, b)
Adding fractions: (a/b) + (c/d) = (ad + bc) / bd
Theorems
Simplification of fractions
Suitable Grade Level
Grade 6-8