A) The number\[\frac{5}{2}\]lies between 2 and 3
B) The number\[\frac{11}{12}\] lies between\[\frac{5}{6}\]and\[\frac{23}{24}\]
C) The number\[\frac{3}{4}\] lies between \[\frac{2}{3}\] and\[\frac{6}{7}\]
D) The number\[\frac{5}{9}\]lies between \[\frac{2}{3}\] and \[\frac{3}{4}\]
Correct Answer: D
Solution :
(d) Take LCM of \[\frac{5}{9},\] \[\frac{2}{3},\] \[\frac{3}{4}\] \[\Rightarrow \] \[\frac{20}{36},\] \[\frac{24}{36},\] \[\frac{27}{36}\] and compare; we can see that \[\frac{20}{36}\] does not lie between \[\frac{24}{36}\]and\[\frac{27}{36}\].
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