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.
[tex]\begin{gathered} A\text{ rational number can be written in the form of }\frac{a}{b} \\ Addition\text{ of two rational numbers where a,b,c and d are integers and b and d}\ne0 \\ a\text{ = 1, b = 2, c =3, d = 4} \\ \frac{a}{b}\text{ + c/d= }\frac{1}{2}+\frac{3}{4}\text{ = }\frac{5}{4}=1.25 \\ \frac{a}{c}+\frac{b}{d}\text{ = }\frac{1}{3}+\frac{2}{4}\text{ = }\frac{5}{6}\text{ = 0.8333...} \\ \frac{c}{a}+\frac{d}{b}\text{ = }\frac{3}{1}+\frac{4}{2}\text{ = 5} \\ Since\text{ the addition of two fractions will always require a common factor, the result is another fraction.} \end{gathered}[/tex]Answer: The above examples show that the addition of two rational numbers will always equal a rational number.
