Question 443255
Let x be the larger; y the smaller.

Let's divide two random numbers:

11 |  57

11 goes into 57  5 times.

So the quotient is 5, with a remainder of 2.

We can express this as 5 + 2/11.

To check that we can express it in this way:

(5+2/11) * 11 = 55 +2 = 57.

Using this fact we can take x/y as

x/y =  Q + R

We know Q = 9 

and R = 15/y.

So:

{{{highlight(x/y = 9 + 15/y)}}}

{{{highlight(x = .975 * 10y)}}}