A rational number is a number of the form p/q where p and q are integers and q > 0.
If p/q and r/s are two rational numbers then
p/q + r/s = (p*s + q*r) / (q*r)
and
p/q - r/s = (p*s - q*r) / (q*r)
The answers may need simplification.
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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.
Every time. The sum of two rational numbers MUST be a rational number.
explain why it is important to line up decimal numbers by their place value when you add or subtract them
no
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.