Math Problem Statement
Solution
To solve as a single fraction in simplest form, we will follow these steps:
Step 1: Find a common denominator
The denominators are and .
The least common denominator (LCD) is:
Step 2: Adjust the fractions to have the LCD
- For , multiply the numerator and denominator by 3:
- For , multiply the numerator and denominator by :
Step 3: Combine the fractions
Now that both fractions have the same denominator , add the numerators:
Final Answer:
The result expressed as a single fraction is:
Let me know if you need more details or further explanation!
Related Questions:
- How do you find the least common denominator for more complex fractions?
- What are the steps to simplify fractions involving variables?
- How do you perform operations on fractions with polynomials in the numerator?
- How do you factorize the numerator and denominator of rational expressions?
- What is the process for reducing fractions to their simplest form?
Tip: Always check for common factors in the numerator and denominator to simplify further!
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Math Problem Analysis
Mathematical Concepts
Algebra
Fractions with variables
Least Common Denominator (LCD)
Simplification of rational expressions
Formulas
Finding the least common denominator: \( LCD = \text{LCM of denominators} \)
Addition of fractions: \( \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c} \)
Theorems
Properties of rational expressions
Suitable Grade Level
Grades 9-11
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