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Advanced MathMediumAdding fractions with x denominators

Advanced Math practice question

For x ≠ 0, the sum 2/x + 3/(2x) is equivalent to a/(2x) for a constant a. What is the value of a?

Answer: 7

Write 2/x as 4/(2x); then 4/(2x) + 3/(2x) = 7/(2x), so a = 7.

Common wrong answers

If you answered 4
4 is only the converted first numerator; add the 3.
If you answered 5
The numerators cannot be added until the denominators match: 2/x = 4/(2x).
If you answered 6
Check: 2/x converts to 4/(2x), not 3/(2x).

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