The Number below is rational Thus Write it as a ratio of two

The Number below is rational. Thus, Write it as a ratio of two integers.

52.46721672167216721...

Prove or disprove the following statement.

For All Integers a,b, and c, if A l bc then a l b or a l c.

Solution

Let x = 52.46721672167216721...

then 10000x= 524672.1672167216721...

subtrct (2) to (1)

9999x = 524619.7

then x = 524619.7/9999

thus 52.46721672167216721... = 524619.7/9999