| Out of the fractions \[\frac{4}{9},\]\[\frac{5}{11},\]\[\frac{3}{7},\]\[\frac{1}{4}\]and \[\frac{2}{5},\]what is the difference between the second largest and second smallest fractions? |
A) \[\frac{2}{35}\]
B) \[\frac{1}{45}\]
C) \[\frac{3}{35}\]
D) \[\frac{2}{45}\]
E) None of these
Correct Answer: D
Solution :
| \[\frac{4}{9}=0.444,\]\[\frac{5}{11}=0.454,\] |
| \[\frac{3}{7}=0.429,\]\[\frac{1}{4}=0.25,\]\[\frac{2}{5}=0.4\] |
| Difference between second largest and second |
| Smallest \[=\frac{4}{9}-\frac{2}{5}=\frac{20-18}{45}=\frac{2}{45}\] |
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