Math Problem Statement
Add 3/7 + 2/3.
Solution
To solve the problem , we need to find a common denominator and add the fractions step by step:
Step-by-Step Solution:
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Identify the denominators: The denominators are and .
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Find the least common denominator (LCD): The least common multiple of and is .
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Rewrite the fractions with the LCD:
- Multiply both the numerator and denominator of by :
- Multiply both the numerator and denominator of by :
- Multiply both the numerator and denominator of by :
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Add the fractions:
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Simplify if needed: is an improper fraction. It can also be written as a mixed number:
remainder , so .
Final Answer:
The result is or .
Would you like further clarification on this or similar examples?
Related Questions:
- How do you find the least common denominator for two fractions?
- What is the process for converting improper fractions to mixed numbers?
- How do you add fractions with the same denominator?
- Why is finding the least common multiple important in fraction addition?
- How do you subtract fractions with unlike denominators?
Tip: Always simplify fractions to their lowest terms to make the answer clearer.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of fractions
Least common denominator
Formulas
LCD method for adding fractions
Theorems
Arithmetic operations on fractions
Suitable Grade Level
Grades 5-7