| If the fractions \[\frac{1}{5},\]\[\frac{2}{7},\]\[\frac{3}{5},\]\[\frac{5}{6}\]and \[\frac{11}{13}\] are arranged in descending order of their values, which one will be the fourth? [NICL (AO) 2015] |
A) \[\frac{11}{13}\]
B) \[\frac{2}{7}\]
C) \[\frac{5}{6}\]
D) \[\frac{1}{5}\]
E) None of these
Correct Answer: B
Solution :
| For arranging them in ascending order, convert these fractions in decimal form, |
| so \[\frac{1}{5}=0.2,\] \[\frac{2}{7}=0.28,\] \[\frac{3}{5}=0.6\] |
| \[\frac{5}{6}=0.83,\]\[\frac{11}{13}=0.84\] |
| In descending order 0.84 > 0.83 > 0.6 > 0.28 > 0.02 |
| or \[\frac{11}{13}>\frac{5}{6}>\frac{3}{5}>\frac{2}{7}>\frac{1}{5}\] |
| Hence, fourth will be \[\frac{2}{7}.\] |
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