Question

Find an irrational number between 5/7and7/9. How many more there may be?

Answer 1

Step-by-step explanation:

To find to irrational number between 5/7 & 7/9, first find the decimal expansion of these numbers.

That is,

5/7 = 0.714...

7/9 = 0.777...

Now, find a number between these 2 decimal expansions which has a non-terminating and non-recurring decimal expansion.

For Eg. 0.7606600666000....

There are infinitely many numbers between any two numbers.

Therefore the required number is 0.7606600666000...

Hope, it helped you.