The L.C.M of 5 and 6 is 30.
54=5×64×6=302465=6×55×5=3025Since 24<25,∴54<65
To find four rational number between 54 and 65 multiply the numerator and denominator of 3024 and 3025 by 4 + 1 i.e. by 5 we get, 150120 and 150125
Since,120<121<122<123<124<125⇒150120<150121<150122<150123<150124<150125⇒54<150121<7561<150123<7562<65
Four rational number between 54 and 65 are:
150121,7561,150123,7562