Math Problem Statement
1/2 + 2/3
Solution
To add the fractions , we need to find a common denominator.
Step 1: Find the Least Common Denominator (LCD)
The denominators are 2 and 3. The least common denominator is the smallest number that both 2 and 3 can divide into, which is 6.
Step 2: Convert Each Fraction to Have the LCD as the Denominator
- For , multiply the numerator and denominator by 3:
- For , multiply the numerator and denominator by 2:
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them directly:
Conclusion
The sum of is:
Would you like more details on this or have any questions?
Here are 5 related questions to explore further:
- How do you add fractions with different denominators?
- What is the process to subtract fractions with different denominators?
- How do you convert improper fractions to mixed numbers?
- How do you multiply and divide fractions?
- What is the concept of the least common multiple (LCM)?
Tip: Always ensure fractions have a common denominator before adding or subtracting them.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Least Common Denominator
Formulas
LCD for addition of fractions
a/b + c/d = (ad + bc)/bd
Theorems
Least Common Denominator (LCD)
Suitable Grade Level
Grades 4-6