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2/3 and 1/2

take L.C.M of both the denominators i.e, L.C.M of 3 and 2 =6

now, multiply 2/2 with 2/3 to get 4/6(note 2/2 =1 no change)

also multiply 3/3 with 1/2 to get 3/6 (note here also 3/3=1 no change)

no we have the same denominators on each number

therefore ,

31/60 , 32/60 , 33/60 ,34/60 ,35/60 and 36/60

3 x 2 6 2 x 3 6

There can be no rational number between these two, so we'll increase their range by multiplying both of them with 10=

Now we can find many rational numbers between these two.

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