Question

The number of rational numbers between two retional number 2/5 and 3/7 is a) one b) two c) five d) infinite​

Answer 1

Answer:

d) Infinite

Hope it seemed helpful to you!

Answer 2

Answer:

Step-by-step explanation:

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.