# CLASS-9OPERATIONS ON RATIONAL NUMBERS

OPERATIONS ON RATIONAL NUMBERS โ

For any rational numbers, w/x and y/z, we define;

w            y               wz + xy

1) Addition :โ  -------- + --------  = --------------

x            z                  xy

The sum of two rational numbers is always considered to be rational numbers.

w              y             wz - xy

2) Addition:โ  --------- - ---------  = ------------

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:-  ------- รท ------- = ------- X ------- = --------

x           z            x           y            xy

when a rational number is divided by any non-zero rational, then we always get a rational numbers.