4. Insert three rational numbers between 3/5 and
2/3
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lcm of 3, 5 = 15
3 × 3 = 9
5 3 15
2 × 5 = 10
3 × 5 15
difference between 9 and 10 is less, multiply and divide by 2
9 × 2 = 18
15 2 30
10 × 2 = 20
15 2 30
again difference between 18 and 20 is less, so multiply and divide by 2
18 × 2 = 36
30 2 60
20 × 2 = 40
30 2 60
numbers between 36 and 40 are 37 , 38 , 39
60 60 60 60 60
the rational numbers between 3/5 and 2/3 are 37/60, 38/60 and 39/60
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