Question

Express the number as a ratio of integers. 1.604 = 1.604604604

Answer 1

Explanation:

I assume you mean the number is

1.604604604604...

and we need to find a/b that gives that result. right ?

let's start with

0.604604604604...

well

0.604

is simply

604/1000

now a little trick (that works with all the rising patterns) : when we divide by 1 less than the simple denominator (so, 1000 - 1 = 999 in our case), then we get the repeating pattern.

so,

604/999 = 0.604604604604...

and now we need to add 1. to be precise : 999/999.

so, we get

999/999 + 604/999 = 1603/999 = 1.604604604604...