Question

Express the number as a ratio of integers. 5.175 = 5.175175175...

Answer 1

5170/999

Explanation:

Let x = 5.175175175...

Then, 1000x = 5175.175175175...

Now, we subtract the equations.

1000x = 5175.175175175...

(-) x = 5.175175175...

------------------------------------------------------------

999x = 5170

x = 5170/999