find 8 rational numbers between 3/5 and 3/4
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First we will have to take the LCM of denominators...
=>3×4/5×4 and 3×5/4×5
=>12/20 and 15/20
Then, since we need 8 rational nos., we will multiply them with 8+1=9
=>12×9/20×9 and 15×9/20×9
=>108/180 and 135/180
Since there are too much, we will multiply it by the approx half of 9,I.e., 4
=>12×4/20×4 and 15×4/20×4
=>48/80 and 60/80
Still extra, so, we will do 4-1=3 and multiply it by the nos.
=> 12×3/20×3 and 15×3/20×3
=> 36/60 and 45/60
So, 8 rational nos. between 3/5 and 3/4 are 37/60, 38/60, 39/60, 40/60, 41/60, 42/60, 43/60 and 44/60.
>>>>>>>>>>>HOPE IT HELPS<<<<<<<<<<
=>3×4/5×4 and 3×5/4×5
=>12/20 and 15/20
Then, since we need 8 rational nos., we will multiply them with 8+1=9
=>12×9/20×9 and 15×9/20×9
=>108/180 and 135/180
Since there are too much, we will multiply it by the approx half of 9,I.e., 4
=>12×4/20×4 and 15×4/20×4
=>48/80 and 60/80
Still extra, so, we will do 4-1=3 and multiply it by the nos.
=> 12×3/20×3 and 15×3/20×3
=> 36/60 and 45/60
So, 8 rational nos. between 3/5 and 3/4 are 37/60, 38/60, 39/60, 40/60, 41/60, 42/60, 43/60 and 44/60.
>>>>>>>>>>>HOPE IT HELPS<<<<<<<<<<
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Answer:
37 / 60 , 38/60, 39/60 , 40/60, 41/60, 42/60, 43/60, 44/60,. over this is your answer
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