YES!!! Because it can be converted to a RATIO.
Hence
Let 10P = 8.33333....
100 P = 83.3333....
Subtract
90P = 75
P = 75/90
Cancel down by '5'
P = 15/18
Cancel down by '3'
P = 5/6 ( A RATIO).
This is the fraction in its lowest terms.
NB Irrational Numbers are 'pi = 3.141592..... . Sqrt(2) = 1.414213562....
Casually irrational numbers have the decimals going to infinity, and there is no regular order in the decial digits. As the name suggests, irrational numbers cannot be converted to a ratio (fraction).
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yes
Yes.
yes
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Yes. Any rational number divided by another rational number is also rational.