find five rational no. 2/5 and 7/3
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Q. Insert 3 rational numbers between 2/5 and 3/7.
Sol : L.C.M of 5 and 7 is 35.
⇒ 2/5 = 2×7/5×7 = 14 /35.
⇒ 3/7 = 3×5/7×5 = 15/35.
By multiplying the numerator and denominator of 14/35 and 15/35 by 4.
⇒ 14/35 = 14 × 4 /35 × 4 = 56/140
⇒15/35 = 15×4 / 35 × 4 = 60 / 140.
Three rational numbers = 57/140 , 58/140 ,59/140.
Note : There are infinite rational or irrational numbers between two numbers.
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