Find ten rational numbers between - 2 5 and 1 2 .

Given, rational numbers are - 2 5 and 1 2 . Here, LCM of 5 and 2 is 10 . So, - 2 5 = - 2 5 × 2 2 = - 4 10 Also, 1 2 = 1 2 × 5 5 = 5 10 Again, - 4 10 = - 4 10 × 2 2 = - 8 20 and 5 10 = 5 10 × 2 2 = 10 20 Hence, - 2 5 = - 8 20 and 1 2 = 10 20 ∴ Ten rational numbers between - 2 5 and 1 2 are - 7 20 , - 6 20 , - 5 20 , - 4 20 , - 3 20 , - 2 20 , - 1 20 , 0 , 1 20 , 2 20 . Note: There can be numerous rational numbers between - 2 5 and 1 2 .

Find five rational numbers between. 2 3 and 4 5

Given numbers are 2 3 and 4 5 . LCM of 3 and 5 is 15 . 2 3 = 2 3 × 5 5 = 10 15 4 5 = 4 5 × 3 3 = 12 15 10 15 = 10 15 × 4 4 = 40 60 12 15 = 12 15 × 4 4 = 48 60 Hence, 2 3 = 40 60 and 4 5 = 48 60 ∴ Five rational numbers between 2 3 and 4 5 are 41 60 , 42 60 , 43 60 , 44 60 , 45 60 . There can be numerous rational numbers between 2 3 and 4 5 .

Find five rational numbers between. - 3 2 and 5 3 .

Given, rational numbers are - 3 2 and 5 3 . LCM of 2 and 3 is 6 . So, - 3 2 = - 3 2 × 3 3 = - 9 6 and 5 3 = 5 3 × 2 2 = 10 6 Thus, - 3 2 = - 9 6 and 5 3 = 10 6 . ∴ Five rational numbers between - 3 2 and 5 3 are - 2 6 , - 1 6 , 0 , 1 6 , 2 6 . There can be numerous rational numbers between - 3 2 and 5 3 .

Find five rational numbers between. 1 4 and 1 2

Given rational numbers are 1 4 and 1 2 . LCM of 4 and 2 is 4 . So, 1 4 = 1 4 × 1 1 = 1 4 1 2 = 1 2 × 2 2 = 2 4 Again, 1 4 = 1 4 × 8 8 = 8 32 2 4 = 2 4 × 8 8 = 16 32 Hence, 1 4 = 8 32 and 1 2 = 16 32 ∴ Five rational numbers between 1 4 and 1 2 are 9 32 , 10 32 , 11 32 , 12 32 , 13 32 . There can be numerous rational numbers between 1 4 and 1 2 .

Find ten rational numbers between 3 5 and 3 4 .

Given, numbers are 3 5 and 3 4 . LCM of 5 and 4 = 20 . So, 3 5 = 3 5 × 4 4 = 12 20 and 3 4 = 3 4 × 5 5 = 15 20 Again, 12 20 = 12 20 × 8 8 = 96 160 and 15 20 = 15 20 × 8 8 = 120 160 Hence, ten rational numbers between 3 5 and 3 4 are 97 160 , 98 160 , 99 160 , 100 160 , 101 160 , 102 160 , 103 160 , 104 160 , 105 160 , 106 160 . There can be numerous rational numbers between 3 5 and 3 4 .