The product is a rational number.
If you add, subtract or multiply rational numbers, the result will be a rational number. It will also be so if you divide by a non-zero rational number. But division by zero is not defined.
You get a rational number.
The answer is a rational number.
The product of two rational numbers is always a rational number.
Either way, you'll end up with a rational number, but you won't get a sum if you multiply.
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.
If you multiply two irrational numbers, the result can be rational, or irrational.
Rational numbers are closed under multiplication, because if you multiply any rational number you will get a pattern. Rational numbers also have a pattern or terminatge, which is good to keep in mind.
It is a trivial difference. If you multiply every term in the equation with rational numbers by the common multiple of all the rational numbers then you will have an equation with integers.
Wgat happens whe you multiply and positive number by a rational number between 0 and 1?
Multiply them together.