A) \[-\frac{7}{10}<-\frac{2}{3}<-\frac{5}{8}\]
B) \[-\frac{5}{8}<-\frac{2}{3}<-\frac{7}{10}\]
C) \[-\frac{5}{8}<-\frac{7}{10}<-\frac{2}{3}\]
D) \[-\frac{7}{10}<-\frac{5}{8}<-\frac{2}{3}\]
Correct Answer: A
Solution :
Since, LCM of 3, 8, 10 = 120 \[\therefore \] \[-\frac{7}{10}=-\frac{84}{120}-\frac{2}{3}=-\frac{80}{120}\] and \[-\frac{5}{8}=-\frac{75}{120}\] \[\therefore \] \[-\frac{84}{120}<-\frac{80}{120}<-\frac{75}{120}\] \[\Rightarrow \] \[-\frac{7}{10}<-\frac{2}{3}<-\frac{5}{8}\]
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