Addition of Rational Numbers

Addition of Rational Numbers

An operation in which any pair \((a, b)\) of rational numbers is made to correspond to a rational number \((a + b)\) called the sum of a and b.

We can always express the sum of two rational number in the form of a repeating decimal sequence, which is not the case for irrational numbers.

Of course, the period can be zero.


\(\dfrac{1}{2} + \dfrac{3}{5} = \dfrac{5}{10} + \dfrac{6}{10} = \dfrac{11}{10} = 1.1\)

Here, the period is 0.

\(\dfrac{2}{3} + \dfrac{3}{7} = \dfrac{14}{21} + \dfrac{9}{21} = \dfrac{23}{21} = 1.\overline{095238}\)

Here, the period is 095238.

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