A) \[\frac{-1}{2},\frac{-1}{3},\frac{-1}{5}\]
B) \[\frac{-3}{2},\frac{-7}{4},\frac{-5}{4}\]
C) \[\frac{-12}{5},\frac{-22}{5},\frac{12}{5}\]
D) \[\frac{3}{2},\frac{7}{4},\frac{5}{4}\]
Correct Answer: B
Solution :
A rational number between any two rational numbers is obtained by taking their average or mean. \[\therefore \] A rational number between \[-2\] and \[-1\] is \[\frac{(-2)+(-1)}{2}=\frac{-3}{2}\]. A rational number between \[-2\] and \[\frac{-3}{2}\] is \[\frac{(-2)+\left( -\frac{3}{2} \right)}{2}=\frac{-7}{4}\]. And a rational number between \[\frac{-3}{2}\] and \[-1\] is \[\frac{\left( \frac{-3}{2} \right)+(-1)}{2}=\frac{-5}{4}\].
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