The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Correct answer: D. 5/9
- A. 2/3
- B. 3/5
- C. 4/7
- D. 5/9
- E. None of these
Explanation
Let the numerator be n, so the denominator is 2n - 1. After increasing both by 1, (n + 1)/(2n) = 3/5, giving 5n + 5 = 6n, n = 5 and denominator = 2(5) - 1 = 9, so the fraction is 5/9. The likely trap is option b, 3/5, which is the changed fraction rather than the original one.
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