Question

Express each of the following decimals in the form p/Q where p,q are integers and q is not equal to zero
0.2​

Answer 1

x = 0.2222.... (1)

Multiply equation (1) by 10

10x = 2.222... (2)

Subtract eq.(1) from eq.(2)

10x - x = 2 - 0

9x = 2

x = 2/9

Hence, In p/q form the number is 2/9