Question:
What is the value of \( \frac{2x+1}{x-1} \) when x=2?
What is the value of \( \frac{2x+1}{x-1} \) when x=2?
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When evaluating fractions, always calculate the numerator and the denominator separately before performing the final division. This helps prevent calculation errors and makes it easier to check your work.
Updated On: Oct 4, 2025
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
We need to evaluate the given algebraic fraction by substituting the value \( x=2 \) into the expression.
Step 2a: Substitute x=2 into the numerator.
\[ \text{Numerator} = 2x+1 = 2(2)+1 = 4+1 = 5 \] Step 2b: Substitute x=2 into the denominator.
\[ \text{Denominator} = x-1 = 2-1 = 1 \] Step 2c: Calculate the final value.
\[ \text{Value} = \frac{\text{Numerator}}{\text{Denominator}} = \frac{5}{1} = 5 \] Step 3: Final Answer:
\( \frac{2x+1}{x-1} \), the value when \( x=2 \) is 5.
We need to evaluate the given algebraic fraction by substituting the value \( x=2 \) into the expression.
Step 2a: Substitute x=2 into the numerator.
\[ \text{Numerator} = 2x+1 = 2(2)+1 = 4+1 = 5 \] Step 2b: Substitute x=2 into the denominator.
\[ \text{Denominator} = x-1 = 2-1 = 1 \] Step 2c: Calculate the final value.
\[ \text{Value} = \frac{\text{Numerator}}{\text{Denominator}} = \frac{5}{1} = 5 \] Step 3: Final Answer:
\( \frac{2x+1}{x-1} \), the value when \( x=2 \) is 5.
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