2021 · Q76
Which one of the following fractions will have minimum change in its value if 3 is added to both the numerator and the denominator of all the fractions?
Elementary MathematicsNumber System
- A2/3
- B3/4
- C4/5
- D5/6
Explanation
Adding 3 to numerator and denominator changes a/b by 3(b−a)/[b(b+3)]: 2/3 changes by 1/6 ≈ 0.167, 3/4 by 3/28 ≈ 0.107, 4/5 by 3/40 = 0.075, 5/6 by 1/18 ≈ 0.056. The minimum change is for 5/6 (the fraction closest to 1). Hence option D.