Which of the following is correct? (1) 2/3 <3/5 <11/15 (2) 3/5 <2/3 <11/15 (3) 11/15 <3/5 < 2/3 (4) 3/5 < 11/5 <2/3?

Answer: (2) 3/5 < 2/3 < 11/15

(1) 2/3 < 3/5 < 11/15

LCM of 3, 5 and 15 is 15

10/15 < 9/15 < 11/15

But 10/15 < 9/15 is wrong.

So the given statement is not correct.

(2) 3/5 < 2/3 < 11/15

LCM of 3, 5 and 15 is 15

9/15 < 10/15 < 11/15

So the given statement is correct.

(3) 11/15 < 3/5 < 2/3

LCM of 3, 5 and 15 is 15

11/15 < 9/15 < 10/15

Since 11/15 < 9/15 is wrong

So the given statement is not correct.

(4) 3/5 < 11/15 < 2/3

LCM of 3, 5 and 15 is 15

9/15 < 11/15 < 10/15

Since 11/15 < 10/15 is wrong

So, the given statement is not correct.

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