Math Problem Statement
Which model represents 1/2 + 1/6?
Solution
To solve the problem of determining which model represents , we will break it down:
Step 1: Find a common denominator.
- The denominators in and are 2 and 6, respectively.
- The least common denominator (LCD) is 6.
Step 2: Rewrite the fractions with the same denominator.
- can be rewritten as (since ).
- remains as .
Step 3: Add the fractions.
- Now we can add .
- Simplify to .
Step 4: Analyze the models.
The correct model should represent .
- A) Shows 4 out of 6 shaded, which represents , or . This is the correct model.
- B) Shows fewer parts shaded and doesn’t represent .
- C) Shows more parts shaded, which would be incorrect for this sum.
- D) Shows , but no additional shading for .
Conclusion:
The correct answer is A).
Would you like more details or have any questions?
Here are 5 related questions to think about:
- What is the least common denominator of and ?
- How do you convert improper fractions to mixed numbers?
- What visual model would represent ?
- How do you subtract fractions with different denominators?
- What is the visual difference between adding fractions and multiplying them?
Tip: Always simplify fractions after adding or subtracting to make calculations easier.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of fractions
Least common denominator
Formulas
1/2 + 1/6 = (3/6 + 1/6) = 4/6 = 2/3
Theorems
Fraction addition with different denominators
Suitable Grade Level
Grades 4-6