Question

find a rational number between 2/5 and 3/7​

Answer 1

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.

Answer 2

Answer:

LCM between 5&7 is 35

2/5×7=14/35

3/7×5=15/35

= 14+15/35=29/35

Rational number between 2/5&3/7 is 29/35