After adding 5 to both numerator and denominator of the following fractions, arrange them in ascending order of the magnitude of change in their values. I. \(\frac{2}{3}\) II. \(\frac{3}{4}\) III.…
Question and options
After adding 5 to both numerator and denominator of the following fractions, arrange them in ascending order of the magnitude of change in their values.
I.
II.
III.
IV.
I.
II.
III.
IV.
- IV < III < I < II
- IV < I < II < III
- IV < III < II < I
- I < IV < II < III
Answer and explanation
Correct answer: C - IV < III < II < I
New values and changes: I 2/3 -> 7/8 (+5/24 = 0.208), II 3/4 -> 8/9 (+5/36 = 0.139), III 4/5 -> 9/10 (+0.1), IV 5/6 -> 10/11 (+5/66 = 0.076). Ascending change: IV < III < II < I.
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