Question

How to find the four rational numbers between 2/3 and 5/2 when denominator is not same.​

Answer 1

Answer:

rational numbers.

(i) 2/3 and 4/5

The LCM of both denominators is 15.

We shall multiply the numbers to get the denominator as a multiple of 15

Multiplying both the numerator and denominator of 2/3 by 20, we get

2/3 = 2/3 × 20/20 = 40/60

Multiplying both the numerator and denominator of 4/5 by 12, we get

4/5 = 4/5 × 12/12 = 48/60

The five rational numbers between 2/3 and 4/5 can be taken as:

41/60, 42/60, 43/60, 44/60, 45/60

(ii) -3/2 and 5/3

The LCM of both denominators is 6.

So we shall multiply the numbers to get the denominator as a multiple of 6

Multiplying both the numerator and denominator of -3/2 by 3, we get

-3/2 = -3/2 × 3/3 = -9/6

Multiplying both the numerator and denominator of 5/3 by 2, we get

5/3 = 5/3 × 2/2 = 10/6

The five rational numbers between -3/2 and 5/3 can be taken as:

-8/6, -7/6, 1, 3/6, 5/6

Step-by-step explanation:

hope it helps you