Insert 4 rational numbers between 3/4,2/5
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first let their denominater be same so lcm of 5,4=20. Numbers we conclude are 2/5=8/20 and 3/4=15/20. Now multiply the whole number by 10. We get 8/20*10=80/200 and 15/20*10=150/200. Now we clearly get 30 rational numbers-81/200, 82/200, 83/200, 84/200, 85/200 and so on till you get 30 rational numbers.
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