Math Problem Statement
Simplify the expression \( \frac{3x}{x + 5} + \frac{4x}{x + 5} \).
Solution
The expression provided is:
Since both terms have a common denominator of , we can combine them by adding the numerators:
So, the simplified expression is:
Would you like a further breakdown or have any questions?
Here are 5 related questions to expand on this:
- How would you simplify an expression with different denominators?
- What happens if you factor the numerator and denominator further?
- How does the solution change if one term had a different denominator?
- How do you simplify expressions when variables are in both numerator and denominator?
- What are some common methods for simplifying fractions?
Tip: When adding fractions with the same denominator, combine the numerators and keep the denominator as it is.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Fractions
Addition of Fractions with Common Denominator
Formulas
\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}
Theorems
Addition of Fractions with Common Denominator
Suitable Grade Level
Grades 7-8