Q. Find five rational numbers between 3/5 and 4/5.
Solution:
To find five rational numbers between 3/5 and 4/5, we can start by finding the difference between 3/5 and 4/5. The difference between these two numbers is 1/5.
We can then divide this difference by 5.
1/5 × 1/5 = 1/25
The result of this division is 1/25.
Now, we can add 1/25 to 3/5 to get a new rational number between 3/5 and 4/5.
We can repeat this process four more times to get a total of five rational numbers between 3/5 and 4/5.
The five rational numbers are:
- 3/5 + 1/25 = 24/25
- 24/25 + 1/25 = 25/25 = 1
- 1 + 1/25 = 26/25
- 26/25 + 1/25 = 27/25
- 27/25 + 1/25 = 28/25
these are the five rational numbers between 3/5 and 4/5.