A) \[\frac{11}{15}\]
B) \[\frac{19}{30}\]
C) \[\frac{41}{30}\]
D) \[\frac{2}{3}\]
E) None of these
Correct Answer: A
Solution :
Explanation Option [a] is correct because we can find the rational number lying between any two rational numbers by equalising the denominator. We can equate the denominator by multiplying both the rational numbers with the denominator of each other and vice versa and then find the rational number between them. \[\frac{20}{30}\times \frac{5}{5}=\frac{100}{150}=\frac{10}{15}and\frac{40}{50}\times \frac{3}{3}=\frac{120}{150}=\frac{12}{15}\] Rational number lying between \[\frac{12}{15}\] and \[\frac{10}{15}\] is \[\frac{11}{15}\].
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