Question

Q27. Find ten rational number between 3/5 and 3/4

Answer 1

Answer:

61/100, 62/100, 63/100, 64/100, 65/100, 66/100,... 74/100, etc

Answer 2

Step-by-step explanation:

Given Numbers : 3/5 and 3/4

Let's find out the LCM of the denominators

LCM of 4 and 5 is 20

3/5 x 4/4 = 12/20

3/4 x 5/5 = 15/20

Since we do not get 10 rational numbers between them, lets take a multiple of 20. Ex - 40

3/5 x 8/8 = 24/40

3/4 x 10/10 = 30/40

Since we do not get 10 rational numbers between them, lets take a multiple of 20. Ex - 60

3/5 x 12/12 = 36/60

3/4 x 15/15 = 45/60

Since we do not get 10 rational numbers between them, lets take a multiple of 20. Ex - 80

3/5 x 16/16 = 48/80

3/4 x 20/20 = 60/80

Since we do get 12 rational numbers between them, you can take any 10 rational numbers you want to among the 12 numbers.