OPERATIONS ON RATIONAL NUMBERS –
For any rational numbers, w/x and y/z, we define;
w y wz + xy
1) Addition :– -------- + -------- = --------------
x z xy
The sum of two rational numbers is always considered to be rational numbers.
w y wz - xy
2) Addition:– --------- - --------- = ------------
x z xy
The difference of two rational numbers is always considered to be rational numbers.
w y wy
3) Multiplication:- --------- X -------- = ---------
x z xz
The multiplication or product of the two rational numbers is always considered to be rational numbers.
w y w z wz
4) Division:- ------- ÷ ------- = ------- X ------- = --------
x z x y xy
when a rational number is divided by any non-zero rational, then we always get a rational numbers.