Step-by-step explanation:
A rational number is a number that can be expressed in the form of the ratio of two integers where division by 0 is not allowed.
![\begin{gathered} A\text{ rational number can be written in the form of }(a)/(b) \\ Addition\text{ of two rational numbers where a,b,c and d are integers and b and d}\\e0 \\ a\text{ = 1, b = 2, c =3, d = 4} \\ (a)/(b)\text{ + c/d= }(1)/(2)+(3)/(4)\text{ = }(5)/(4)=1.25 \\ (a)/(c)+(b)/(d)\text{ = }(1)/(3)+(2)/(4)\text{ = }(5)/(6)\text{ = 0.8333...} \\ (c)/(a)+(d)/(b)\text{ = }(3)/(1)+(4)/(2)\text{ = 5} \\ Since\text{ the addition of two fractions will always require a common factor, the result is another fraction.} \end{gathered}]()
Answer: The above examples show that the addition of two rational numbers will always equal a rational number.