Question

Example 2 show that 0.3333.. =0.3 can be expressed
in the form P/Q where P and q are intergers and q not equal to 0​

Answer 1

Step-by-step explanation:

Let, x=0.3333333...........=0.3ˉ          .....(i)

Multiplying on both sides by '10' we get,

10x=3.333333...........=3.3ˉ          .........(ii)

Subtract (i) from (ii) we get,

9x=3.0000000........=3

x=93=31

I.e., 0.33333........=0.3ˉ=31

Which is in the form of qp. Where p and q are integers.