Advanced MathMediumSolving a rational equation with two fractions
Advanced Math practice question
If 1/x + 1/(2x) = 3/4 and x ≠ 0, what is the value of x?
Answer: 2
Combine: 1/x + 1/(2x) = 2/(2x) + 1/(2x) = 3/(2x). So 3/(2x) = 3/4, giving 2x = 4 and x = 2.
Common wrong answers
- If you answered 1
- 1 gives 1 + 1/2 = 3/2, twice the target.
- If you answered 4
- 4 comes from setting 2x = 8 (multiplying the wrong side); check: 1/4 + 1/8 = 3/8, not 3/4.
- If you answered 0.5
- 0.5 gives 2 + 1 = 3, not 3/4.
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