AlgebraMediumEquation with two fractions of the same variable
Algebra practice question
If x/2 + x/4 = 6, what is the value of x?
Answer: 8
Common denominator 4: 2x/4 + x/4 = 3x/4 = 6. Multiply by 4/3: x = 8. Check: 4 + 2 = 6.
Common wrong answers
- If you answered 4
- 4 comes from x/2 + x/4 = 6 with x/4 dropped (x/2 = 6 → 12) or halved wrongly; 4/2 + 4/4 = 3, not 6.
- If you answered 12
- 12 solves x/2 = 6 alone, ignoring the x/4 term.
- If you answered 24
- 24 solves x/4 = 6 alone, ignoring the x/2 term.
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