Question

Operation on rational numbers examples

Answer 1

p = numerator, q= denominator, where p and q are integers and q ≠0

Examples: 35, −310, 11−15. Here we can see that all the numerators and denominators are integers and even the denominators should be non-zero. To represent rationals, we divide the distance between two consecutive part into ‘n’ number of parts.

For example, to represent a3 divide the distance between 0 and 1, 1 and 2 and so on in three equal parts and that parts are represented as 13, 23, 33 and so on. Let us now see the operations of the rational numbers examples – addition, subtraction, multiplication, and division of rational numbers.



Addition of the Rational Numbers

1) Adding rational numbers  witth same denominators: Let the two rational numbers be 73 and −53. Adding these rational numbers,

73 + −53

= 23

2) Adding rational numbers with different denominators: Let the two rational numbers be 43 and 36. Adding these rational numbers,

43 + 36

Take the LCM of denominators. LCM of 3 and 6 is 6,

4×23×2 + 36

= 116